किसी अनुक्रम में \(a_1=4\) और \(a_n=2a_{n-1}+n+2\) है। \(a_5\) का मान क्या होगा?
In a sequence, \(a_1=4\) and \(a_n=2a_{n-1}+n+2\). What is the value of \(a_5\)?
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A एक सौ उनतीस / (129)
B एक सौ बत्तीस / (132)
C एक सौ पैंतीस / (135)
D एक सौ अड़तीस / (138)
Explanation opens after your attempt
Correct Answer
C. एक सौ पैंतीस / (135)
Step 1
Concept
\(a_2=12\), \(a_3=29\), \(a_4=64\), and \(a_5=135\). In exams, add the current value of (n) correctly.
Step 2
Why this answer is correct
The correct answer is C. एक सौ पैंतीस / (135). \(a_2=12\), \(a_3=29\), \(a_4=64\), and \(a_5=135\). In exams, add the current value of (n) correctly.
Step 3
Exam Tip
\(a_2=12\), \(a_3=29\), \(a_4=64\) और \(a_5=135\) मिलता है। परीक्षा में (n) का वर्तमान मान सही जोड़ें।
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किसी अनुक्रम में \(b_1=7\) और \(b_n=3b_{n-1}-2n+1\) है। \(b_4\) का मान क्या होगा?
In a sequence, \(b_1=7\) and \(b_n=3b_{n-1}-2n+1\). What is the value of \(b_4\)?
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A एक सौ छत्तीस / (136)
B एक सौ चालीस / (140)
C एक सौ चवालीस / (144)
D एक सौ अड़तालीस / (148)
Explanation opens after your attempt
Correct Answer
B. एक सौ चालीस / (140)
Step 1
Concept
\(b_2=18\), \(b_3=49\), and \(b_4=140\). In exams, check the full subtracted amount after multiplication.
Step 2
Why this answer is correct
The correct answer is B. एक सौ चालीस / (140). \(b_2=18\), \(b_3=49\), and \(b_4=140\). In exams, check the full subtracted amount after multiplication.
Step 3
Exam Tip
\(b_2=18\), \(b_3=49\) और \(b_4=140\) है। परीक्षा में गुणा के बाद पूरी घटाई गई राशि जाँचें।
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यदि \(c_1=2\), \(c_2=5\) और \(c_n=c_{n-1}+2c_{n-2}+n\) है, तो \(c_5\) का मान क्या होगा?
If \(c_1=2\), \(c_2=5\), and \(c_n=c_{n-1}+2c_{n-2}+n\), what is the value of \(c_5\)?
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A उनचास / (49)
B इक्यावन / (51)
C तिरेपन / (53)
D पचपन / (55)
Explanation opens after your attempt
Correct Answer
D. पचपन / (55)
Step 1
Concept
\(c_3=12\), \(c_4=26\), and \(c_5=55\). In exams, multiply the second previous term by (2).
Step 2
Why this answer is correct
The correct answer is D. पचपन / (55). \(c_3=12\), \(c_4=26\), and \(c_5=55\). In exams, multiply the second previous term by (2).
Step 3
Exam Tip
\(c_3=12\), \(c_4=26\) और \(c_5=55\) मिलता है। परीक्षा में दूसरे पिछले पद को (2) से गुणा करें।
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यदि \(d_n=d_{n-1}+5n-1\) और \(d_5=79\) है, तो \(d_1\) का मान क्या होगा?
If \(d_n=d_{n-1}+5n-1\) and \(d_5=79\), what is the value of \(d_1\)?
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A तेरह / (13)
B पंद्रह / (15)
C सत्रह / (17)
D उन्नीस / (19)
Explanation opens after your attempt
Correct Answer
A. तेरह / (13)
Step 1
Concept
\(d_5=d_1+9+14+19+24\), so \(d_1=13\). In exams, subtract the added quantities when working backward.
Step 2
Why this answer is correct
The correct answer is A. तेरह / (13). \(d_5=d_1+9+14+19+24\), so \(d_1=13\). In exams, subtract the added quantities when working backward.
Step 3
Exam Tip
\(d_5=d_1+9+14+19+24\), इसलिए \(d_1=13\) है। परीक्षा में उल्टी दिशा में जोड़ी गई राशियाँ घटाएँ।
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अनुक्रम (6), (14), (30), (62) के लिए सही पुनरावर्ती नियम कौन-सा है?
Which recursive rule is correct for the sequence (6), (14), (30), (62)?
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A नियम \(u_n=u_{n-1}+8\) / Rule \(u_n=u_{n-1}+8\)
B नियम \(u_n=3u_{n-1}-4\) / Rule \(u_n=3u_{n-1}-4\)
C नियम \(u_n=2u_{n-1}-2\) / Rule \(u_n=2u_{n-1}-2\)
D नियम \(u_n=2u_{n-1}+2\) / Rule \(u_n=2u_{n-1}+2\)
Explanation opens after your attempt
Correct Answer
D. नियम \(u_n=2u_{n-1}+2\) / Rule \(u_n=2u_{n-1}+2\)
Step 1
Concept
Each new term is obtained by doubling the previous term and adding (2). In exams, test the rule at two consecutive places.
Step 2
Why this answer is correct
The correct answer is D. नियम \(u_n=2u_{n-1}+2\) / Rule \(u_n=2u_{n-1}+2\). Each new term is obtained by doubling the previous term and adding (2). In exams, test the rule at two consecutive places.
Step 3
Exam Tip
हर नया पद पिछले पद के दोगुने में (2) जोड़ने से मिलता है। परीक्षा में नियम को लगातार दो जगह जाँचें।
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यदि \(f_1=4\) और \(f_n=2f_{n-1}+3\) है, तो \(f_n>150\) पहली बार किस (n) पर होगा?
If \(f_1=4\) and \(f_n=2f_{n-1}+3\), for which (n) will \(f_n>150\) first occur?
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A चार / (4)
B पाँच / (5)
C छह / (6)
D सात / (7)
Explanation opens after your attempt
Step 1
Concept
\(f_5=109\) and \(f_6=221\), so the condition is first satisfied at (n=6). In exams, choose the first term that crosses the limit.
Step 2
Why this answer is correct
The correct answer is C. छह / (6). \(f_5=109\) and \(f_6=221\), so the condition is first satisfied at (n=6). In exams, choose the first term that crosses the limit.
Step 3
Exam Tip
\(f_5=109\) और \(f_6=221\), इसलिए पहली बार (n=6) पर शर्त पूरी होती है। परीक्षा में सीमा पार करने वाला पहला पद चुनें।
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किसी अनुक्रम में \(g_1=10\) और (g_n=g_{n-1}+(-1)^n n-2 ) है। \(g_5\) का मान क्या होगा?
In a sequence, \(g_1=10\) and (g_n=g_{n-1}+(-1)^n n-2 ). What is the value of \(g_5\)?
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A ऋण आठ / (-8)
B ऋण छह / (-6)
C ऋण चार / (-4)
D ऋण दो / (-2)
Explanation opens after your attempt
Correct Answer
C. ऋण चार / (-4)
Step 1
Concept
\(g_2=14\), \(g_3=5\), \(g_4=21\), and \(g_5=-4\). In exams, apply the alternating sign carefully.
Step 2
Why this answer is correct
The correct answer is C. ऋण चार / (-4). \(g_2=14\), \(g_3=5\), \(g_4=21\), and \(g_5=-4\). In exams, apply the alternating sign carefully.
Step 3
Exam Tip
\(g_2=14\), \(g_3=5\), \(g_4=21\) और \(g_5=-4\) है। परीक्षा में बदलते हुए चिह्न को सावधानी से लगाएँ।
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यदि \(h_1=2\) और (h_n=(n-1)h_{n-1}+3) है, तो \(h_4\) का मान क्या होगा?
If \(h_1=2\) and (h_n=(n-1)h_{n-1}+3), what is the value of \(h_4\)?
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A बयालीस / (42)
B पैंतालीस / (45)
C अड़तालीस / (48)
D इक्यावन / (51)
Explanation opens after your attempt
Correct Answer
A. बयालीस / (42)
Step 1
Concept
\(h_2=5\), \(h_3=13\), and \(h_4=42\). In exams, identify the multiplier (n-1) correctly.
Step 2
Why this answer is correct
The correct answer is A. बयालीस / (42). \(h_2=5\), \(h_3=13\), and \(h_4=42\). In exams, identify the multiplier (n-1) correctly.
Step 3
Exam Tip
\(h_2=5\), \(h_3=13\) और \(h_4=42\) होता है। परीक्षा में गुणक (n-1) को सही पहचानें।
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किसी अनुक्रम में \(j_1=3\) और \(j_n=j_{n-1}+n^2+n\) है। \(j_4\) का मान क्या होगा?
In a sequence, \(j_1=3\) and \(j_n=j_{n-1}+n^2+n\). What is the value of \(j_4\)?
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A सैंतीस / (37)
B इकतालीस / (41)
C पैंतालीस / (45)
D उनचास / (49)
Explanation opens after your attempt
Correct Answer
B. इकतालीस / (41)
Step 1
Concept
\(j_4=3+6+12+20=41\). In exams, simplify \(n^2+n\) first.
Step 2
Why this answer is correct
The correct answer is B. इकतालीस / (41). \(j_4=3+6+12+20=41\). In exams, simplify \(n^2+n\) first.
Step 3
Exam Tip
\(j_4=3+6+12+20=41\) है। परीक्षा में \(n^2+n\) को पहले सरल करें।
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यदि \(k_1=80\) और \(k_n=\frac{k_{n-1}}{2}+n\) है, तो \(k_5\) का मान क्या होगा?
If \(k_1=80\) and \(k_n=\frac{k_{n-1}}{2}+n\), what is the value of \(k_5\)?
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A दस / (10)
B ग्यारह / (11)
C बारह / (12)
D तेरह / (13)
Explanation opens after your attempt
Correct Answer
D. तेरह / (13)
Step 1
Concept
\(k_2=42\), \(k_3=24\), \(k_4=16\), and \(k_5=13\). In exams, add (n) after halving the previous term.
Step 2
Why this answer is correct
The correct answer is D. तेरह / (13). \(k_2=42\), \(k_3=24\), \(k_4=16\), and \(k_5=13\). In exams, add (n) after halving the previous term.
Step 3
Exam Tip
\(k_2=42\), \(k_3=24\), \(k_4=16\) और \(k_5=13\) है। परीक्षा में आधा करने के बाद (n) जोड़ें।
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किसी अनुक्रम में \(m_1=2\) और \(m_n=3m_{n-1}+n-2\) है। \(m_4\) का मान क्या होगा?
In a sequence, \(m_1=2\) and \(m_n=3m_{n-1}+n-2\). What is the value of \(m_4\)?
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A उनसठ / (59)
B इकसठ / (61)
C तिरसठ / (63)
D पैंसठ / (65)
Explanation opens after your attempt
Correct Answer
A. उनसठ / (59)
Step 1
Concept
\(m_2=6\), \(m_3=19\), and \(m_4=59\). In exams, add (n-2) separately.
Step 2
Why this answer is correct
The correct answer is A. उनसठ / (59). \(m_2=6\), \(m_3=19\), and \(m_4=59\). In exams, add (n-2) separately.
Step 3
Exam Tip
\(m_2=6\), \(m_3=19\) और \(m_4=59\) मिलता है। परीक्षा में (n-2) को अलग से जोड़ें।
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यदि \(N_1=8\) और (N_n=2N_{n-1}-n(n-1)) है, तो \(N_4\) का मान क्या होगा?
If \(N_1=8\) and (N_n=2N_{n-1}-n(n-1)), what is the value of \(N_4\)?
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A अट्ठाईस / (28)
B तीस / (30)
C बत्तीस / (32)
D चौंतीस / (34)
Explanation opens after your attempt
Correct Answer
C. बत्तीस / (32)
Step 1
Concept
\(N_2=14\), \(N_3=22\), and \(N_4=32\). In exams, (n(n-1)) must be subtracted.
Step 2
Why this answer is correct
The correct answer is C. बत्तीस / (32). \(N_2=14\), \(N_3=22\), and \(N_4=32\). In exams, (n(n-1)) must be subtracted.
Step 3
Exam Tip
\(N_2=14\), \(N_3=22\) और \(N_4=32\) है। परीक्षा में (n(n-1)) को घटाना है।
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यदि \(r_1=4\), \(r_2=6\) और \(r_n=2r_{n-1}-r_{n-2}+n\) है, तो \(r_5\) का मान क्या होगा?
If \(r_1=4\), \(r_2=6\), and \(r_n=2r_{n-1}-r_{n-2}+n\), what is the value of \(r_5\)?
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A तीस / (30)
B चौंतीस / (34)
C अड़तीस / (38)
D बयालीस / (42)
Explanation opens after your attempt
Correct Answer
B. चौंतीस / (34)
Step 1
Concept
\(r_3=11\), \(r_4=20\), and \(r_5=34\). In exams, do not change the order of the older term being subtracted.
Step 2
Why this answer is correct
The correct answer is B. चौंतीस / (34). \(r_3=11\), \(r_4=20\), and \(r_5=34\). In exams, do not change the order of the older term being subtracted.
Step 3
Exam Tip
\(r_3=11\), \(r_4=20\) और \(r_5=34\) मिलता है। परीक्षा में घटाए जाने वाले पुराने पद का क्रम न बदलें।
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किसी अनुक्रम में \(s_1=5\) और (s_n=s_{n-1}+(-1)^{n+1}(2n-1)) है। \(s_5\) का मान क्या होगा?
In a sequence, \(s_1=5\) and (s_n=s_{n-1}+(-1)^{n+1}(2n-1)). What is the value of \(s_5\)?
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A तीन / (3)
B पाँच / (5)
C सात / (7)
D नौ / (9)
Explanation opens after your attempt
Step 1
Concept
\(s_2=2\), \(s_3=7\), \(s_4=0\), and \(s_5=9\). In exams, keep the signs of odd additions and subtractions separate.
Step 2
Why this answer is correct
The correct answer is D. नौ / (9). \(s_2=2\), \(s_3=7\), \(s_4=0\), and \(s_5=9\). In exams, keep the signs of odd additions and subtractions separate.
Step 3
Exam Tip
\(s_2=2\), \(s_3=7\), \(s_4=0\) और \(s_5=9\) है। परीक्षा में विषम जोड़ और घटाव के चिह्न अलग रखें।
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यदि \(t_1=x\), \(t_n=2t_{n-1}+3\) और \(t_4=61\) है, तो (x) का मान क्या होगा?
If \(t_1=x\), \(t_n=2t_{n-1}+3\), and \(t_4=61\), what is the value of (x)?
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A पाँच / (5)
B छह / (6)
C सात / (7)
D आठ / (8)
Explanation opens after your attempt
Correct Answer
A. पाँच / (5)
Step 1
Concept
\(t_4=8x+21\), so (x=5). In exams, expand the rule up to \(t_1\) and solve.
Step 2
Why this answer is correct
The correct answer is A. पाँच / (5). \(t_4=8x+21\), so (x=5). In exams, expand the rule up to \(t_1\) and solve.
Step 3
Exam Tip
\(t_4=8x+21\), इसलिए (x=5) है। परीक्षा में नियम को \(t_1\) तक फैलाकर हल करें।
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अनुक्रम (7), (17), (37), (77) के लिए सही पुनरावर्ती नियम कौन-सा है?
Which recursive rule is correct for the sequence (7), (17), (37), (77)?
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A नियम \(v_n=v_{n-1}+10\) / Rule \(v_n=v_{n-1}+10\)
B नियम \(v_n=3v_{n-1}-4\) / Rule \(v_n=3v_{n-1}-4\)
C नियम \(v_n=2v_{n-1}+3\) / Rule \(v_n=2v_{n-1}+3\)
D नियम \(v_n=2v_{n-1}+1\) / Rule \(v_n=2v_{n-1}+1\)
Explanation opens after your attempt
Correct Answer
C. नियम \(v_n=2v_{n-1}+3\) / Rule \(v_n=2v_{n-1}+3\)
Step 1
Concept
Each new term is obtained by doubling the previous term and adding (3). In exams, check the rule, not only the difference.
Step 2
Why this answer is correct
The correct answer is C. नियम \(v_n=2v_{n-1}+3\) / Rule \(v_n=2v_{n-1}+3\). Each new term is obtained by doubling the previous term and adding (3). In exams, check the rule, not only the difference.
Step 3
Exam Tip
हर नया पद पिछले पद के दोगुने में (3) जोड़ने से मिलता है। परीक्षा में केवल अंतर नहीं, नियम भी जाँचें।
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यदि \(v_1=3\) और \(v_n=v_{n-1}+n^3\) है, तो \(v_4\) का मान क्या होगा?
If \(v_1=3\) and \(v_n=v_{n-1}+n^3\), what is the value of \(v_4\)?
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A छियानवे / (96)
B एक सौ दो / (102)
C एक सौ आठ / (108)
D एक सौ चौदह / (114)
Explanation opens after your attempt
Correct Answer
B. एक सौ दो / (102)
Step 1
Concept
\(v_4=3+8+27+64=102\). In exams, add the cube \(n^3\) correctly.
Step 2
Why this answer is correct
The correct answer is B. एक सौ दो / (102). \(v_4=3+8+27+64=102\). In exams, add the cube \(n^3\) correctly.
Step 3
Exam Tip
\(v_4=3+8+27+64=102\) है। परीक्षा में घन \(n^3\) को सही जोड़ें।
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किसी अनुक्रम में \(w_1=1\) और \(w_n=w_{n-1}+3^{n-1}+1\) है। \(w_4\) का मान क्या होगा?
In a sequence, \(w_1=1\) and \(w_n=w_{n-1}+3^{n-1}+1\). What is the value of \(w_4\)?
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#progressions
#recursive-rule
#class-9
#expert
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A सैंतीस / (37)
B उनतालीस / (39)
C इकतालीस / (41)
D तैंतालीस / (43)
Explanation opens after your attempt
Correct Answer
D. तैंतालीस / (43)
Step 1
Concept
\(w_2=5\), \(w_3=15\), and \(w_4=43\). In exams, add (1) after \(3^{n-1}\) too.
Step 2
Why this answer is correct
The correct answer is D. तैंतालीस / (43). \(w_2=5\), \(w_3=15\), and \(w_4=43\). In exams, add (1) after \(3^{n-1}\) too.
Step 3
Exam Tip
\(w_2=5\), \(w_3=15\) और \(w_4=43\) है। परीक्षा में \(3^{n-1}\) के बाद (1) भी जोड़ें।
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यदि \(x_1=4\) और \(x_n=2x_{n-1}+n^2-n\) है, तो \(x_4\) का मान क्या होगा?
If \(x_1=4\) and \(x_n=2x_{n-1}+n^2-n\), what is the value of \(x_4\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A चौंसठ / (64)
B अड़सठ / (68)
C बहत्तर / (72)
D छिहत्तर / (76)
Explanation opens after your attempt
Correct Answer
A. चौंसठ / (64)
Step 1
Concept
\(x_2=10\), \(x_3=26\), and \(x_4=64\). In exams, simplify \(n^2-n\) before adding it.
Step 2
Why this answer is correct
The correct answer is A. चौंसठ / (64). \(x_2=10\), \(x_3=26\), and \(x_4=64\). In exams, simplify \(n^2-n\) before adding it.
Step 3
Exam Tip
\(x_2=10\), \(x_3=26\) और \(x_4=64\) है। परीक्षा में \(n^2-n\) को सरल करके जोड़ें।
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किसी अनुक्रम में \(y_1=2\) और (y_n=y_{n-1}+(2n-1)2 ) है। \(y_4\) का मान क्या होगा?
In a sequence, \(y_1=2\) and (y_n=y_{n-1}+(2n-1)2 ). What is the value of \(y_4\)?
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#recursive-rule
#class-9
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A सतहत्तर / (77)
B इक्यासी / (81)
C पचासी / (85)
D नवासी / (89)
Explanation opens after your attempt
Correct Answer
C. पचासी / (85)
Step 1
Concept
\(y_4=2+9+25+49=85\). In exams, remember to square (2n-1).
Step 2
Why this answer is correct
The correct answer is C. पचासी / (85). \(y_4=2+9+25+49=85\). In exams, remember to square (2n-1).
Step 3
Exam Tip
\(y_4=2+9+25+49=85\) है। परीक्षा में (2n-1) का वर्ग लेना न भूलें।
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यदि \(z_1=1\), \(z_2=3\) और \(z_n=z_{n-1}z_{n-2}+n\) है, तो \(z_5\) का मान क्या होगा?
If \(z_1=1\), \(z_2=3\), and \(z_n=z_{n-1}z_{n-2}+n\), what is the value of \(z_5\)?
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#progressions
#recursive-rule
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A एक सौ उनतीस / (129)
B एक सौ सैंतीस / (137)
C एक सौ पैंतालीस / (145)
D एक सौ तिरपन / (153)
Explanation opens after your attempt
Correct Answer
B. एक सौ सैंतीस / (137)
Step 1
Concept
\(z_3=6\), \(z_4=22\), and \(z_5=137\). In exams, multiply the previous two terms and then add (n).
Step 2
Why this answer is correct
The correct answer is B. एक सौ सैंतीस / (137). \(z_3=6\), \(z_4=22\), and \(z_5=137\). In exams, multiply the previous two terms and then add (n).
Step 3
Exam Tip
\(z_3=6\), \(z_4=22\) और \(z_5=137\) है। परीक्षा में पिछले दो पदों का गुणन करके (n) जोड़ें।
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किसी अनुक्रम में \(A_1=2\) और (A_n=(n+1)A_{n-1}+2) है। \(A_3\) का मान क्या होगा?
In a sequence, \(A_1=2\) and (A_n=(n+1)A_{n-1}+2). What is the value of \(A_3\)?
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#recursive-rule
#class-9
#expert
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A अट्ठाईस / (28)
B तीस / (30)
C बत्तीस / (32)
D चौंतीस / (34)
Explanation opens after your attempt
Correct Answer
D. चौंतीस / (34)
Step 1
Concept
\(A_2=8\) and \(A_3=34\). In exams, apply the multiplier (n+1) correctly.
Step 2
Why this answer is correct
The correct answer is D. चौंतीस / (34). \(A_2=8\) and \(A_3=34\). In exams, apply the multiplier (n+1) correctly.
Step 3
Exam Tip
\(A_2=8\) और \(A_3=34\) है। परीक्षा में गुणक (n+1) को सही लगाएँ।
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यदि \(B_1=11\) और \(B_n=B_{n-1}+2^n-n\) है, तो \(B_4\) का मान क्या होगा?
If \(B_1=11\) and \(B_n=B_{n-1}+2^n-n\), what is the value of \(B_4\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A तीस / (30)
B बत्तीस / (32)
C चौंतीस / (34)
D छत्तीस / (36)
Explanation opens after your attempt
Correct Answer
A. तीस / (30)
Step 1
Concept
\(B_4=11+2+5+12=30\). In exams, calculate \(2^n-n\) at each step.
Step 2
Why this answer is correct
The correct answer is A. तीस / (30). \(B_4=11+2+5+12=30\). In exams, calculate \(2^n-n\) at each step.
Step 3
Exam Tip
\(B_4=11+2+5+12=30\) है। परीक्षा में \(2^n-n\) को हर चरण पर निकालें।
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किसी अनुक्रम में \(C_1=4\) और (C_n=C_{n-1}+n(n+2)) है। \(C_4\) का मान क्या होगा?
In a sequence, \(C_1=4\) and (C_n=C_{n-1}+n(n+2)). What is the value of \(C_4\)?
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#recursive-rule
#class-9
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A पैंतालीस / (45)
B अड़तालीस / (48)
C इक्यावन / (51)
D चौवन / (54)
Explanation opens after your attempt
Correct Answer
C. इक्यावन / (51)
Step 1
Concept
\(C_4=4+8+15+24=51\). In exams, simplify (n(n+2)) first.
Step 2
Why this answer is correct
The correct answer is C. इक्यावन / (51). \(C_4=4+8+15+24=51\). In exams, simplify (n(n+2)) first.
Step 3
Exam Tip
\(C_4=4+8+15+24=51\) है। परीक्षा में (n(n+2)) को पहले सरल करें।
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यदि \(D_1=5\) और (D_n=3D_{n-1}-(n+1)) है, तो \(D_4\) का मान क्या होगा?
If \(D_1=5\) and (D_n=3D_{n-1}-(n+1)), what is the value of \(D_4\)?
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#recursive-rule
#class-9
#expert
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A सत्तासी / (87)
B इक्यानवे / (91)
C पचानवे / (95)
D निन्यानवे / (99)
Explanation opens after your attempt
Correct Answer
B. इक्यानवे / (91)
Step 1
Concept
\(D_2=12\), \(D_3=32\), and \(D_4=91\). In exams, do not forget to subtract (n+1).
Step 2
Why this answer is correct
The correct answer is B. इक्यानवे / (91). \(D_2=12\), \(D_3=32\), and \(D_4=91\). In exams, do not forget to subtract (n+1).
Step 3
Exam Tip
\(D_2=12\), \(D_3=32\) और \(D_4=91\) मिलता है। परीक्षा में (n+1) को घटाना न भूलें।
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यदि \(E_1=2\), \(E_2=4\) और \(E_n=E_{n-1}+E_{n-2}+n\) है, तो \(E_5\) का मान क्या होगा?
If \(E_1=2\), \(E_2=4\), and \(E_n=E_{n-1}+E_{n-2}+n\), what is the value of \(E_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A पच्चीस / (25)
B सत्ताईस / (27)
C उनतीस / (29)
D इकतीस / (31)
Explanation opens after your attempt
Correct Answer
D. इकतीस / (31)
Step 1
Concept
\(E_3=9\), \(E_4=17\), and \(E_5=31\). In exams, add (n) along with both previous terms.
Step 2
Why this answer is correct
The correct answer is D. इकतीस / (31). \(E_3=9\), \(E_4=17\), and \(E_5=31\). In exams, add (n) along with both previous terms.
Step 3
Exam Tip
\(E_3=9\), \(E_4=17\) और \(E_5=31\) है। परीक्षा में दोनों पिछले पदों के साथ (n) जोड़ें।
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किसी अनुक्रम में \(F_1=90\) और (F_n=F_{n-1}-n(n+1)) है। \(F_4\) का मान क्या होगा?
In a sequence, \(F_1=90\) and (F_n=F_{n-1}-n(n+1)). What is the value of \(F_4\)?
#sequences
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#recursive-rule
#class-9
#expert
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A बावन / (52)
B छप्पन / (56)
C साठ / (60)
D चौंसठ / (64)
Explanation opens after your attempt
Correct Answer
A. बावन / (52)
Step 1
Concept
\(F_4=90-6-12-20=52\). In exams, subtract (n(n+1)), do not add it.
Step 2
Why this answer is correct
The correct answer is A. बावन / (52). \(F_4=90-6-12-20=52\). In exams, subtract (n(n+1)), do not add it.
Step 3
Exam Tip
\(F_4=90-6-12-20=52\) है। परीक्षा में (n(n+1)) को घटाएँ, जोड़ें नहीं।
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यदि \(G_1=1\) और \(G_n=2G_{n-1}+2n+1\) है, तो \(G_4\) का मान क्या होगा?
If \(G_1=1\) and \(G_n=2G_{n-1}+2n+1\), what is the value of \(G_4\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A तैंतालीस / (43)
B सैंतालीस / (47)
C इक्यावन / (51)
D पचपन / (55)
Explanation opens after your attempt
Correct Answer
C. इक्यावन / (51)
Step 1
Concept
\(G_2=7\), \(G_3=21\), and \(G_4=51\). In exams, add (2n+1) after doubling.
Step 2
Why this answer is correct
The correct answer is C. इक्यावन / (51). \(G_2=7\), \(G_3=21\), and \(G_4=51\). In exams, add (2n+1) after doubling.
Step 3
Exam Tip
\(G_2=7\), \(G_3=21\) और \(G_4=51\) है। परीक्षा में दोगुना करने के बाद (2n+1) जोड़ें।
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किसी अनुक्रम में \(H_1=6\) और (H_n=H_{n-1}+(n-1)(n+1)) है। \(H_5\) का मान क्या होगा?
In a sequence, \(H_1=6\) and (H_n=H_{n-1}+(n-1)(n+1)). What is the value of \(H_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A बावन / (52)
B छप्पन / (56)
C साठ / (60)
D चौंसठ / (64)
Explanation opens after your attempt
Correct Answer
B. छप्पन / (56)
Step 1
Concept
\(H_5=6+3+8+15+24=56\). In exams, simplify ((n-1)(n+1)) correctly.
Step 2
Why this answer is correct
The correct answer is B. छप्पन / (56). \(H_5=6+3+8+15+24=56\). In exams, simplify ((n-1)(n+1)) correctly.
Step 3
Exam Tip
\(H_5=6+3+8+15+24=56\) है। परीक्षा में ((n-1)(n+1)) को सही सरल करें।
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यदि \(J_1=40\) और (J_n=J_{n-1}-4(n-1)+1) है, तो \(J_5\) का मान क्या होगा?
If \(J_1=40\) and (J_n=J_{n-1}-4(n-1)+1), what is the value of \(J_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A ऋण दो / (-2)
B शून्य / (0)
C दो / (2)
D चार / (4)
Explanation opens after your attempt
Correct Answer
D. चार / (4)
Step 1
Concept
\(J_2=37\), \(J_3=30\), \(J_4=19\), and \(J_5=4\). In exams, handle both the subtraction and final addition of (1).
Step 2
Why this answer is correct
The correct answer is D. चार / (4). \(J_2=37\), \(J_3=30\), \(J_4=19\), and \(J_5=4\). In exams, handle both the subtraction and final addition of (1).
Step 3
Exam Tip
\(J_2=37\), \(J_3=30\), \(J_4=19\) और \(J_5=4\) है। परीक्षा में घटाव और अंत में (1) जोड़ना दोनों करें।
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यदि \(K_1=2\), \(K_2=5\) और \(K_n=3K_{n-1}-K_{n-2}\) है, तो \(K_5\) का मान क्या होगा?
If \(K_1=2\), \(K_2=5\), and \(K_n=3K_{n-1}-K_{n-2}\), what is the value of \(K_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A नवासी / (89)
B तिरानवे / (93)
C सत्तानवे / (97)
D एक सौ एक / (101)
Explanation opens after your attempt
Correct Answer
A. नवासी / (89)
Step 1
Concept
\(K_3=13\), \(K_4=34\), and \(K_5=89\). In exams, triple the previous term and subtract the term before it.
Step 2
Why this answer is correct
The correct answer is A. नवासी / (89). \(K_3=13\), \(K_4=34\), and \(K_5=89\). In exams, triple the previous term and subtract the term before it.
Step 3
Exam Tip
\(K_3=13\), \(K_4=34\) और \(K_5=89\) है। परीक्षा में पिछले पद का (3) गुना लेकर उससे पहले वाला पद घटाएँ।
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किसी अनुक्रम में \(L_1=4\) और \(L_n=L_{n-1}+5n-4\) है। \(L_5\) का मान क्या होगा?
In a sequence, \(L_1=4\) and \(L_n=L_{n-1}+5n-4\). What is the value of \(L_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A बावन / (52)
B पचपन / (55)
C अट्ठावन / (58)
D इकसठ / (61)
Explanation opens after your attempt
Correct Answer
C. अट्ठावन / (58)
Step 1
Concept
\(L_5=4+6+11+16+21=58\). In exams, add the quantities formed by (5n-4) in order.
Step 2
Why this answer is correct
The correct answer is C. अट्ठावन / (58). \(L_5=4+6+11+16+21=58\). In exams, add the quantities formed by (5n-4) in order.
Step 3
Exam Tip
\(L_5=4+6+11+16+21=58\) है। परीक्षा में (5n-4) से बनने वाली राशियाँ क्रम से जोड़ें।
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यदि \(M_1=2\) और \(M_n=4M_{n-1}-n\) है, तो \(M_3\) का मान क्या होगा?
If \(M_1=2\) and \(M_n=4M_{n-1}-n\), what is the value of \(M_3\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A सत्रह / (17)
B इक्कीस / (21)
C पच्चीस / (25)
D उनतीस / (29)
Explanation opens after your attempt
Correct Answer
B. इक्कीस / (21)
Step 1
Concept
\(M_2=6\) and \(M_3=21\). In exams, multiply by (4) and subtract the current (n).
Step 2
Why this answer is correct
The correct answer is B. इक्कीस / (21). \(M_2=6\) and \(M_3=21\). In exams, multiply by (4) and subtract the current (n).
Step 3
Exam Tip
\(M_2=6\) और \(M_3=21\) है। परीक्षा में (4) से गुणा करके वर्तमान (n) घटाएँ।
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किसी अनुक्रम में \(R_1=1\) और (R_n=(n+2)R_{n-1}-1) है। \(R_4\) का मान क्या होगा?
In a sequence, \(R_1=1\) and (R_n=(n+2)R_{n-1}-1). What is the value of \(R_4\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A इकहत्तर / (71)
B पचहत्तर / (75)
C उन्यासी / (79)
D तिरासी / (83)
Explanation opens after your attempt
Correct Answer
D. तिरासी / (83)
Step 1
Concept
\(R_2=3\), \(R_3=14\), and \(R_4=83\). In exams, change the multiplier (n+2) at every step.
Step 2
Why this answer is correct
The correct answer is D. तिरासी / (83). \(R_2=3\), \(R_3=14\), and \(R_4=83\). In exams, change the multiplier (n+2) at every step.
Step 3
Exam Tip
\(R_2=3\), \(R_3=14\) और \(R_4=83\) मिलता है। परीक्षा में गुणक (n+2) को हर चरण पर बदलें।
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यदि \(O_1=5\) और \(O_n=O_{n-1}+2^n+2n\) है, तो \(O_4\) का मान क्या होगा?
If \(O_1=5\) and \(O_n=O_{n-1}+2^n+2n\), what is the value of \(O_4\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A इक्यावन / (51)
B पचपन / (55)
C उनसठ / (59)
D तिरसठ / (63)
Explanation opens after your attempt
Correct Answer
A. इक्यावन / (51)
Step 1
Concept
\(O_2=13\), \(O_3=27\), and \(O_4=51\). In exams, add both the power and (2n).
Step 2
Why this answer is correct
The correct answer is A. इक्यावन / (51). \(O_2=13\), \(O_3=27\), and \(O_4=51\). In exams, add both the power and (2n).
Step 3
Exam Tip
\(O_2=13\), \(O_3=27\) और \(O_4=51\) है। परीक्षा में घात और (2n) दोनों जोड़ें।
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किसी अनुक्रम में \(P_1=0\) और \(P_n=P_{n-1}+3n^2-1\) है। \(P_4\) का मान क्या होगा?
In a sequence, \(P_1=0\) and \(P_n=P_{n-1}+3n^2-1\). What is the value of \(P_4\)?
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#recursive-rule
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A अठहत्तर / (78)
B इक्यासी / (81)
C चौरासी / (84)
D सत्तासी / (87)
Explanation opens after your attempt
Correct Answer
C. चौरासी / (84)
Step 1
Concept
\(P_4=0+11+26+47=84\). In exams, calculate \(3n^2-1\) first.
Step 2
Why this answer is correct
The correct answer is C. चौरासी / (84). \(P_4=0+11+26+47=84\). In exams, calculate \(3n^2-1\) first.
Step 3
Exam Tip
\(P_4=0+11+26+47=84\) है। परीक्षा में \(3n^2-1\) को पहले निकालें।
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यदि \(Q_1=1\), \(Q_2=2\) और \(Q_n=Q_{n-1}+Q_{n-2}+n^2\) है, तो \(Q_5\) का मान क्या होगा?
If \(Q_1=1\), \(Q_2=2\), and \(Q_n=Q_{n-1}+Q_{n-2}+n^2\), what is the value of \(Q_5\)?
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#recursive-rule
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A इकसठ / (61)
B सड़सठ / (67)
C तिहत्तर / (73)
D उन्यासी / (79)
Explanation opens after your attempt
Correct Answer
B. सड़सठ / (67)
Step 1
Concept
\(Q_3=12\), \(Q_4=30\), and \(Q_5=67\). In exams, add \(n^2\) with both previous terms.
Step 2
Why this answer is correct
The correct answer is B. सड़सठ / (67). \(Q_3=12\), \(Q_4=30\), and \(Q_5=67\). In exams, add \(n^2\) with both previous terms.
Step 3
Exam Tip
\(Q_3=12\), \(Q_4=30\) और \(Q_5=67\) है। परीक्षा में दोनों पिछले पदों के साथ \(n^2\) जोड़ें।
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यदि \(U_1=3\) और \(U_n=U_{n-1}^2-n\) है, तो \(U_3\) का मान क्या होगा?
If \(U_1=3\) and \(U_n=U_{n-1}^2-n\), what is the value of \(U_3\)?
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#recursive-rule
#class-9
#expert
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A अड़तीस / (38)
B बयालीस / (42)
C चवालीस / (44)
D छियालीस / (46)
Explanation opens after your attempt
Correct Answer
D. छियालीस / (46)
Step 1
Concept
\(U_2=7\) and \(U_3=46\). In exams, square the previous term and subtract the current (n).
Step 2
Why this answer is correct
The correct answer is D. छियालीस / (46). \(U_2=7\) and \(U_3=46\). In exams, square the previous term and subtract the current (n).
Step 3
Exam Tip
\(U_2=7\) और \(U_3=46\) है। परीक्षा में पिछले पद का वर्ग लेकर वर्तमान (n) घटाएँ।
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किसी अनुक्रम में \(S_1=75\) और \(S_n=S_{n-1}-2^n\) है। \(S_4\) का मान क्या होगा?
In a sequence, \(S_1=75\) and \(S_n=S_{n-1}-2^n\). What is the value of \(S_4\)?
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#recursive-rule
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A सैंतालीस / (47)
B उनचास / (49)
C इक्यावन / (51)
D तिरेपन / (53)
Explanation opens after your attempt
Correct Answer
A. सैंतालीस / (47)
Step 1
Concept
\(S_4=75-4-8-16=47\). In exams, \(2^n\) must be subtracted.
Step 2
Why this answer is correct
The correct answer is A. सैंतालीस / (47). \(S_4=75-4-8-16=47\). In exams, \(2^n\) must be subtracted.
Step 3
Exam Tip
\(S_4=75-4-8-16=47\) है। परीक्षा में \(2^n\) को घटाना है।
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यदि \(T_1=2\) और (T_n=(n+2)T_{n-1}+n) है, तो \(T_3\) का मान क्या होगा?
If \(T_1=2\) and (T_n=(n+2)T_{n-1}+n), what is the value of \(T_3\)?
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#recursive-rule
#class-9
#expert
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A पैंतालीस / (45)
B उनचास / (49)
C तिरेपन / (53)
D सत्तावन / (57)
Explanation opens after your attempt
Correct Answer
C. तिरेपन / (53)
Step 1
Concept
\(T_2=10\) and \(T_3=53\). In exams, multiply by (n+2) and add (n).
Step 2
Why this answer is correct
The correct answer is C. तिरेपन / (53). \(T_2=10\) and \(T_3=53\). In exams, multiply by (n+2) and add (n).
Step 3
Exam Tip
\(T_2=10\) और \(T_3=53\) है। परीक्षा में (n+2) से गुणा करके (n) जोड़ें।
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किसी अनुक्रम के पहले चार पद (4), (10), (22), (46) हैं और नियम \(a_n=2a_{n-1}+2\) है। \(a_5\) क्या होगा?
The first four terms of a sequence are (4), (10), (22), (46), and the rule is \(a_n=2a_{n-1}+2\). What is \(a_5\)?
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#recursive-rule
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A अठासी / (88)
B चौरानवे / (94)
C एक सौ / (100)
D एक सौ छह / (106)
Explanation opens after your attempt
Correct Answer
B. चौरानवे / (94)
Step 1
Concept
\(a_5=2\times 46+2=94\). In exams, apply the rule to the last given term.
Step 2
Why this answer is correct
The correct answer is B. चौरानवे / (94). \(a_5=2\times 46+2=94\). In exams, apply the rule to the last given term.
Step 3
Exam Tip
\(a_5=2\times 46+2=94\) है। परीक्षा में अंतिम दिए पद पर नियम लगाएँ।
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यदि \(a_n=a_{n-1}+4n-2\) और \(a_5=70\) है, तो \(a_2\) का मान क्या होगा?
If \(a_n=a_{n-1}+4n-2\) and \(a_5=70\), what is the value of \(a_2\)?
#sequences
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#recursive-rule
#class-9
#expert
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A बाईस / (22)
B चौबीस / (24)
C छब्बीस / (26)
D अट्ठाईस / (28)
Explanation opens after your attempt
Correct Answer
D. अट्ठाईस / (28)
Step 1
Concept
\(a_5=a_2+10+14+18\), so \(a_2=28\). In exams, subtract the later additions to find a middle term.
Step 2
Why this answer is correct
The correct answer is D. अट्ठाईस / (28). \(a_5=a_2+10+14+18\), so \(a_2=28\). In exams, subtract the later additions to find a middle term.
Step 3
Exam Tip
\(a_5=a_2+10+14+18\), इसलिए \(a_2=28\) है। परीक्षा में बीच के पद के लिए आगे की जोड़ घटाएँ।
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यदि \(b_n=3b_{n-1}+2\) और \(b_3=44\) है, तो \(b_1\) का मान क्या होगा?
If \(b_n=3b_{n-1}+2\) and \(b_3=44\), what is the value of \(b_1\)?
#sequences
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#recursive-rule
#class-9
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A चार / (4)
B पाँच / (5)
C छह / (6)
D सात / (7)
Explanation opens after your attempt
Correct Answer
A. चार / (4)
Step 1
Concept
\(b_3=9b_1+8\), so \(b_1=4\). In exams, expand the recursive rule up to the first term.
Step 2
Why this answer is correct
The correct answer is A. चार / (4). \(b_3=9b_1+8\), so \(b_1=4\). In exams, expand the recursive rule up to the first term.
Step 3
Exam Tip
\(b_3=9b_1+8\), इसलिए \(b_1=4\) है। परीक्षा में पुनरावर्ती नियम को पहले पद तक फैलाएँ।
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यदि \(c_1=3\) और (c_n=c_{n-1}+n(n-1)) है, तो कौन-सा कथन सही है?
If \(c_1=3\) and (c_n=c_{n-1}+n(n-1)), which statement is correct?
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A \(c_2=4\) और \(c_3=10\) / \(c_2=4\) and \(c_3=10\)
B \(c_2=5\) और \(c_3=9\) / \(c_2=5\) and \(c_3=9\)
C \(c_2=5\) और \(c_3=11\) / \(c_2=5\) and \(c_3=11\)
D \(c_2=6\) और \(c_3=12\) / \(c_2=6\) and \(c_3=12\)
Explanation opens after your attempt
Correct Answer
C. \(c_2=5\) और \(c_3=11\) / \(c_2=5\) and \(c_3=11\)
Step 1
Concept
\(c_2=3+2=5\) and \(c_3=5+6=11\). In exams, calculate (n(n-1)) newly for each term.
Step 2
Why this answer is correct
The correct answer is C. \(c_2=5\) और \(c_3=11\) / \(c_2=5\) and \(c_3=11\). \(c_2=3+2=5\) and \(c_3=5+6=11\). In exams, calculate (n(n-1)) newly for each term.
Step 3
Exam Tip
\(c_2=3+2=5\) और \(c_3=5+6=11\) है। परीक्षा में (n(n-1)) को हर पद पर नया निकालें।
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यदि \(d_1=2\) और \(d_n=d_{n-1}+4n\) है, तो \(d_n>60\) पहली बार किस (n) पर होगा?
If \(d_1=2\) and \(d_n=d_{n-1}+4n\), for which (n) will \(d_n>60\) first occur?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A तीन / (3)
B चार / (4)
C पाँच / (5)
D छह / (6)
Explanation opens after your attempt
Step 1
Concept
\(d_5=58\) and \(d_6=82\), so the value first exceeds (60) at (n=6). In exams, choose the first term that becomes greater.
Step 2
Why this answer is correct
The correct answer is D. छह / (6). \(d_5=58\) and \(d_6=82\), so the value first exceeds (60) at (n=6). In exams, choose the first term that becomes greater.
Step 3
Exam Tip
\(d_5=58\) और \(d_6=82\), इसलिए पहली बार (n=6) पर मान (60) से अधिक होता है। परीक्षा में पहले से अधिक होने वाला पद चुनें।
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यदि \(e_1=2\) और \(e_n=3e_{n-1}-n\) है, तो \(e_4-e_3\) का मान क्या होगा?
If \(e_1=2\) and \(e_n=3e_{n-1}-n\), what is the value of \(e_4-e_3\)?
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#recursive-rule
#class-9
#expert
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A दस / (10)
B चौदह / (14)
C अठारह / (18)
D बाईस / (22)
Explanation opens after your attempt
Correct Answer
B. चौदह / (14)
Step 1
Concept
\(e_3=9\) and \(e_4=23\), so the difference is (14). In exams, find both terms correctly before taking the difference.
Step 2
Why this answer is correct
The correct answer is B. चौदह / (14). \(e_3=9\) and \(e_4=23\), so the difference is (14). In exams, find both terms correctly before taking the difference.
Step 3
Exam Tip
\(e_3=9\) और \(e_4=23\), इसलिए अंतर (14) है। परीक्षा में अंतर निकालने से पहले दोनों पद सही निकालें।
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यदि \(f_1=3\) और \(f_n=f_{n-1}+3n-1\) है, तो पहले चार पदों का योग क्या होगा?
If \(f_1=3\) and \(f_n=f_{n-1}+3n-1\), what is the sum of the first four terms?
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#recursive-rule
#class-9
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A चौवन / (54)
B अट्ठावन / (58)
C बासठ / (62)
D छियासठ / (66)
Explanation opens after your attempt
Correct Answer
A. चौवन / (54)
Step 1
Concept
The first four terms are (3), (8), (16), and (27), and their sum is (54). In exams, add all required terms for a sum.
Step 2
Why this answer is correct
The correct answer is A. चौवन / (54). The first four terms are (3), (8), (16), and (27), and their sum is (54). In exams, add all required terms for a sum.
Step 3
Exam Tip
पहले चार पद (3), (8), (16), (27) हैं और उनका योग (54) है। परीक्षा में योग के लिए सभी आवश्यक पद जोड़ें।
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यदि \(g_1=2\) और \(g_n=2g_{n-1}+1\) है, तो \(g_5:g_4\) क्या होगा?
If \(g_1=2\) and \(g_n=2g_{n-1}+1\), what is \(g_5:g_4\)?
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#recursive-rule
#class-9
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A (43:21)
B (45:22)
C (46:23)
D (47:23)
Explanation opens after your attempt
Correct Answer
D. (47:23)
Step 1
Concept
\(g_4=23\) and \(g_5=47\), so the ratio is (47:23). In exams, do not reverse the order of the ratio.
Step 2
Why this answer is correct
The correct answer is D. (47:23). \(g_4=23\) and \(g_5=47\), so the ratio is (47:23). In exams, do not reverse the order of the ratio.
Step 3
Exam Tip
\(g_4=23\) और \(g_5=47\), इसलिए अनुपात (47:23) है। परीक्षा में अनुपात का क्रम न बदलें।
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यदि \(h_1=3\), \(h_2=8\) और \(h_n=2h_{n-1}-h_{n-2}+2n\) है, तो \(h_5\) का मान क्या होगा?
If \(h_1=3\), \(h_2=8\), and \(h_n=2h_{n-1}-h_{n-2}+2n\), what is the value of \(h_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A उनसठ / (59)
B तिरसठ / (63)
C सड़सठ / (67)
D इकहत्तर / (71)
Explanation opens after your attempt
Correct Answer
C. सड़सठ / (67)
Step 1
Concept
\(h_3=19\), \(h_4=38\), and \(h_5=67\). In exams, keep the older subtracted term correct.
Step 2
Why this answer is correct
The correct answer is C. सड़सठ / (67). \(h_3=19\), \(h_4=38\), and \(h_5=67\). In exams, keep the older subtracted term correct.
Step 3
Exam Tip
\(h_3=19\), \(h_4=38\) और \(h_5=67\) है। परीक्षा में घटाव वाले पुराने पद को सही रखें।
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यदि \(p_1=2\) और \(p_n=p_{n-1}+n^2+n+1\) है, तो \(p_5\) का मान क्या होगा?
If \(p_1=2\) and \(p_n=p_{n-1}+n^2+n+1\), what is the value of \(p_5\)?
#sequences
#progressions
#recursive-rule
#class-9
#expert
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A अड़सठ / (68)
B चौहत्तर / (74)
C अस्सी / (80)
D छियासी / (86)
Explanation opens after your attempt
Correct Answer
B. चौहत्तर / (74)
Step 1
Concept
\(p_5=2+7+13+21+31=74\). In exams, simplify \(n^2+n+1\) first and then add.
Step 2
Why this answer is correct
The correct answer is B. चौहत्तर / (74). \(p_5=2+7+13+21+31=74\). In exams, simplify \(n^2+n+1\) first and then add.
Step 3
Exam Tip
\(p_5=2+7+13+21+31=74\) है। परीक्षा में \(n^2+n+1\) को पहले सरल करके जोड़ें।
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