समांतर श्रेणी \(13,19,25,31,\ldots\) का चौदहवाँ पद क्या है?
What is the fourteenth term of the arithmetic progression \(13,19,25,31,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (85)
B (91)
C (97)
D (103)
Explanation opens after your attempt
Step 1
Concept
Here (a=13) and (d=6), so \(a_{14}=13+13\times6=91\). In exams, use (a_n=a+(n-1)d).
Step 2
Why this answer is correct
The correct answer is B. (91). Here (a=13) and (d=6), so \(a_{14}=13+13\times6=91\). In exams, use (a_n=a+(n-1)d).
Step 3
Exam Tip
यहाँ (a=13) और (d=6) है, इसलिए \(a_{14}=13+13\times6=91\) है। परीक्षा में (a_n=a+(n-1)d) लगाएँ।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(96,88,80,72,\ldots\) का दसवाँ पद क्या है?
What is the tenth term of the arithmetic progression \(96,88,80,72,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (16)
B (24)
C (32)
D (40)
Explanation opens after your attempt
Step 1
Concept
Here (d=-8), so (a_{10}=96+9(-8)=24). In exams, keep (d) negative in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is B. (24). Here (d=-8), so (a_{10}=96+9(-8)=24). In exams, keep (d) negative in a decreasing progression.
Step 3
Exam Tip
यहाँ (d=-8) है, इसलिए (a_{10}=96+9(-8)=24) है। परीक्षा में घटती श्रेणी में (d) को ऋणात्मक रखें।
Login to save your score, XP, coins and progress. Login
यदि \(a_n=7n-5\) है, तो (121) कौन-सा पद होगा?
If \(a_n=7n-5\), which term will be (121)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A सोलहवाँ पद / (16)th term
B सत्रहवाँ पद / (17)th term
C अठारहवाँ पद / (18)th term
D उन्नीसवाँ पद / (19)th term
Explanation opens after your attempt
Correct Answer
C. अठारहवाँ पद / (18)th term
Step 1
Concept
From (7n-5=121), we get (n=18). In exams, equate the given term to the general term.
Step 2
Why this answer is correct
The correct answer is C. अठारहवाँ पद / (18)th term. From (7n-5=121), we get (n=18). In exams, equate the given term to the general term.
Step 3
Exam Tip
(7n-5=121) से (n=18) मिलता है। परीक्षा में दिए पद को सामान्य पद के बराबर रखें।
Login to save your score, XP, coins and progress. Login
किसी समांतर श्रेणी में पहला पद (18) और सोलहवाँ पद (93) है, तो सार्व अंतर क्या है?
In an arithmetic progression, the first term is (18) and the sixteenth term is (93), what is the common difference?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4)
B (5)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
From (93=18+15d), (d=5). In exams, pay attention to (n-1) in the (n)th term.
Step 2
Why this answer is correct
The correct answer is B. (5). From (93=18+15d), (d=5). In exams, pay attention to (n-1) in the (n)th term.
Step 3
Exam Tip
(93=18+15d) से (d=5) है। परीक्षा में (n)वें पद में (n-1) का ध्यान रखें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(9,15,21,27,\ldots\) का सामान्य पद क्या है?
What is the general term of the arithmetic progression \(9,15,21,27,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a_n=6n+3\)
B \(a_n=9n\)
C \(a_n=6n-3\)
D \(a_n=3n+6\)
Explanation opens after your attempt
Correct Answer
A. \(a_n=6n+3\)
Step 1
Concept
The first term is (9) and the difference is (6), so \(a_n=6n+3\). In exams, check the first term by putting (n=1).
Step 2
Why this answer is correct
The correct answer is A. \(a_n=6n+3\). The first term is (9) and the difference is (6), so \(a_n=6n+3\). In exams, check the first term by putting (n=1).
Step 3
Exam Tip
पहला पद (9) और अंतर (6) है, इसलिए \(a_n=6n+3\) है। परीक्षा में (n=1) रखकर पहला पद जाँचें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(5,9,13,17,\ldots\) के पहले (12) पदों का योग क्या है?
What is the sum of the first (12) terms of the arithmetic progression \(5,9,13,17,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (312)
B (324)
C (336)
D (348)
Explanation opens after your attempt
Step 1
Concept
\(S_{12}=\frac{12}{2}[2\times5+11\times4]=324\). In exams, use the formula for \(S_n\).
Step 2
Why this answer is correct
The correct answer is B. (324). \(S_{12}=\frac{12}{2}[2\times5+11\times4]=324\). In exams, use the formula for \(S_n\).
Step 3
Exam Tip
\(S_{12}=\frac{12}{2}[2\times5+11\times4]=324\) है। परीक्षा में योग के लिए \(S_n\) का सूत्र लगाएँ।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(8,14,20,26,\ldots\) के पहले (9) पदों का योग क्या है?
What is the sum of the first (9) terms of the arithmetic progression \(8,14,20,26,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (278)
B (288)
C (298)
D (306)
Explanation opens after your attempt
Step 1
Concept
\(S_9=\frac{9}{2}[2\times8+8\times6]=288\). In exams, calculate inside the bracket first.
Step 2
Why this answer is correct
The correct answer is B. (288). \(S_9=\frac{9}{2}[2\times8+8\times6]=288\). In exams, calculate inside the bracket first.
Step 3
Exam Tip
\(S_9=\frac{9}{2}[2\times8+8\times6]=288\) है। परीक्षा में कोष्ठक के अंदर की गणना पहले करें।
Login to save your score, XP, coins and progress. Login
यदि \(a_4=29\) और (d=6) है, तो पहला पद (a) क्या होगा?
If \(a_4=29\) and (d=6), what is the first term (a)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B (11)
C (13)
D (15)
Explanation opens after your attempt
Step 1
Concept
\(a_4=a+3d\), so (29=a+18) and (a=11). In exams, subtract three differences from the fourth term.
Step 2
Why this answer is correct
The correct answer is B. (11). \(a_4=a+3d\), so (29=a+18) and (a=11). In exams, subtract three differences from the fourth term.
Step 3
Exam Tip
\(a_4=a+3d\), इसलिए (29=a+18) और (a=11) है। परीक्षा में चौथे पद से तीन अंतर घटाएँ।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(31,26,21,16,\ldots\) का सामान्य पद क्या है?
What is the general term of the arithmetic progression \(31,26,21,16,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a_n=31-5n\)
B \(a_n=36-5n\)
C \(a_n=5n+26\)
D \(a_n=36+n\)
Explanation opens after your attempt
Correct Answer
B. \(a_n=36-5n\)
Step 1
Concept
The rule \(a_n=36-5n\) gives (31) at (n=1) and (26) at (n=2). In exams, match the first term in a decreasing progression.
Step 2
Why this answer is correct
The correct answer is B. \(a_n=36-5n\). The rule \(a_n=36-5n\) gives (31) at (n=1) and (26) at (n=2). In exams, match the first term in a decreasing progression.
Step 3
Exam Tip
(n=1) पर (31) और (n=2) पर (26) देने वाला नियम \(a_n=36-5n\) है। परीक्षा में घटती श्रेणी में पहला पद मिलाएँ।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(3,11,19,27,\ldots\) में (83) कौन-सा पद है?
In the arithmetic progression \(3,11,19,27,\ldots\), which term is (83)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A दसवाँ पद / (10)th term
B ग्यारहवाँ पद / (11)th term
C बारहवाँ पद / (12)th term
D तेरहवाँ पद / (13)th term
Explanation opens after your attempt
Correct Answer
B. ग्यारहवाँ पद / (11)th term
Step 1
Concept
From (3+(n-1)8=83), we get (n=11). In exams, form an equation to find the term number.
Step 2
Why this answer is correct
The correct answer is B. ग्यारहवाँ पद / (11)th term. From (3+(n-1)8=83), we get (n=11). In exams, form an equation to find the term number.
Step 3
Exam Tip
(3+(n-1)8=83) से (n=11) मिलता है। परीक्षा में पद संख्या के लिए समीकरण बनाएँ।
Login to save your score, XP, coins and progress. Login
यदि समांतर श्रेणी के पहले पाँच पदों का योग (130) है और (a=10) है, तो (d) क्या है?
If the sum of the first five terms of an arithmetic progression is (130) and (a=10), what is (d)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
From \(\frac{5}{2}[20+4d]=130\), (d=8). In exams, keep (n-1) correct in the sum formula.
Step 2
Why this answer is correct
The correct answer is C. (8). From \(\frac{5}{2}[20+4d]=130\), (d=8). In exams, keep (n-1) correct in the sum formula.
Step 3
Exam Tip
\(\frac{5}{2}[20+4d]=130\) से (d=8) मिलता है। परीक्षा में योग सूत्र में (n-1) सही रखें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(2,6,10,14,\ldots\) के पहले (18) पदों का योग क्या है?
What is the sum of the first (18) terms of the arithmetic progression \(2,6,10,14,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (628)
B (638)
C (648)
D (658)
Explanation opens after your attempt
Step 1
Concept
\(S_{18}=\frac{18}{2}[4+17\times4]=648\). In exams, add (17d) for (18) terms.
Step 2
Why this answer is correct
The correct answer is C. (648). \(S_{18}=\frac{18}{2}[4+17\times4]=648\). In exams, add (17d) for (18) terms.
Step 3
Exam Tip
\(S_{18}=\frac{18}{2}[4+17\times4]=648\) है। परीक्षा में (18) पदों के लिए (17d) जोड़ें।
Login to save your score, XP, coins and progress. Login
यदि \(a_n=8n+4\) है, तो पहले (7) पदों का योग क्या होगा?
If \(a_n=8n+4\), what is the sum of the first (7) terms?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (246)
B (252)
C (260)
D (268)
Explanation opens after your attempt
Step 1
Concept
The first seven terms are (12,20,28,36,44,52,60), and their sum is (252). In exams, you can verify the sum by listing terms from the rule.
Step 2
Why this answer is correct
The correct answer is B. (252). The first seven terms are (12,20,28,36,44,52,60), and their sum is (252). In exams, you can verify the sum by listing terms from the rule.
Step 3
Exam Tip
पहले सात पद (12,20,28,36,44,52,60) हैं और योग (252) है। परीक्षा में नियम से पद निकालकर भी योग जाँच सकते हैं।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(19,26,33,\ldots\) का वह पद कौन-सा है जो (89) है?
Which term of the arithmetic progression \(19,26,33,\ldots\) is (89)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A नौवाँ पद / (9)th term
B दसवाँ पद / (10)th term
C ग्यारहवाँ पद / (11)th term
D बारहवाँ पद / (12)th term
Explanation opens after your attempt
Correct Answer
C. ग्यारहवाँ पद / (11)th term
Step 1
Concept
From (19+(n-1)7=89), we get (n=11). In exams, equate the given term to (a+(n-1)d).
Step 2
Why this answer is correct
The correct answer is C. ग्यारहवाँ पद / (11)th term. From (19+(n-1)7=89), we get (n=11). In exams, equate the given term to (a+(n-1)d).
Step 3
Exam Tip
(19+(n-1)7=89) से (n=11) मिलता है। परीक्षा में दिए पद को (a+(n-1)d) के बराबर रखें।
Login to save your score, XP, coins and progress. Login
यदि \(a_2=14\) और \(a_8=50\) है, तो पहला पद क्या होगा?
If \(a_2=14\) and \(a_8=50\), what is the first term?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Step 1
Concept
From (6d=36), (d=6), and from (a+d=14), (a=8). In exams, find (d) first and then (a).
Step 2
Why this answer is correct
The correct answer is C. (8). From (6d=36), (d=6), and from (a+d=14), (a=8). In exams, find (d) first and then (a).
Step 3
Exam Tip
(6d=36) से (d=6) और (a+d=14) से (a=8) है। परीक्षा में पहले (d) निकालें फिर (a) निकालें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(45,40,35,30,\ldots\) में शून्य कौन-सा पद है?
In the arithmetic progression \(45,40,35,30,\ldots\), which term is zero?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A आठवाँ पद / (8)th term
B नौवाँ पद / (9)th term
C दसवाँ पद / (10)th term
D ग्यारहवाँ पद / (11)th term
Explanation opens after your attempt
Correct Answer
C. दसवाँ पद / (10)th term
Step 1
Concept
From (45+(n-1)(-5)=0), (n=10). In exams, form and solve an equation for the zero term.
Step 2
Why this answer is correct
The correct answer is C. दसवाँ पद / (10)th term. From (45+(n-1)(-5)=0), (n=10). In exams, form and solve an equation for the zero term.
Step 3
Exam Tip
(45+(n-1)(-5)=0) से (n=10) है। परीक्षा में शून्य पद के लिए समीकरण बनाकर हल करें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(11,18,25,\ldots\) के पहले (14) पदों का योग क्या है?
What is the sum of the first (14) terms of the arithmetic progression \(11,18,25,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (773)
B (791)
C (805)
D (819)
Explanation opens after your attempt
Step 1
Concept
\(S_{14}=\frac{14}{2}[22+13\times7]=791\). In exams, add (2a+(n-1)d) correctly.
Step 2
Why this answer is correct
The correct answer is B. (791). \(S_{14}=\frac{14}{2}[22+13\times7]=791\). In exams, add (2a+(n-1)d) correctly.
Step 3
Exam Tip
\(S_{14}=\frac{14}{2}[22+13\times7]=791\) है। परीक्षा में (2a+(n-1)d) को सही जोड़ें।
Login to save your score, XP, coins and progress. Login
यदि समांतर श्रेणी \(x,,x+8,,x+16,\ldots\) में चौथा पद (41) है, तो (x) क्या है?
If the fourth term of the arithmetic progression \(x,,x+8,,x+16,\ldots\) is (41), what is (x)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (15)
B (17)
C (19)
D (21)
Explanation opens after your attempt
Step 1
Concept
The fourth term is (x+24=41), so (x=17). In exams, put algebraic terms directly into an equation.
Step 2
Why this answer is correct
The correct answer is B. (17). The fourth term is (x+24=41), so (x=17). In exams, put algebraic terms directly into an equation.
Step 3
Exam Tip
चौथा पद (x+24=41) है, इसलिए (x=17) है। परीक्षा में बीजीय पदों को सीधे समीकरण में रखें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(6,10,14,\ldots\) में (50) तक कितने पद हैं?
How many terms are there up to (50) in the arithmetic progression \(6,10,14,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (10)
B (11)
C (12)
D (13)
Explanation opens after your attempt
Step 1
Concept
From (6+(n-1)4=50), (n=12). In exams, equate the last term to the general term.
Step 2
Why this answer is correct
The correct answer is C. (12). From (6+(n-1)4=50), (n=12). In exams, equate the last term to the general term.
Step 3
Exam Tip
(6+(n-1)4=50) से (n=12) है। परीक्षा में अंतिम पद को सामान्य पद के बराबर रखें।
Login to save your score, XP, coins and progress. Login
यदि किसी समांतर श्रेणी के पहले (4) पद (6,13,20,27) हैं, तो \(S_4\) क्या है?
If the first (4) terms of an arithmetic progression are (6,13,20,27), what is \(S_4\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (62)
B (66)
C (70)
D (74)
Explanation opens after your attempt
Step 1
Concept
The sum is (6+13+20+27=66). In exams, direct addition is also fast for small (n).
Step 2
Why this answer is correct
The correct answer is B. (66). The sum is (6+13+20+27=66). In exams, direct addition is also fast for small (n).
Step 3
Exam Tip
योग (6+13+20+27=66) है। परीक्षा में छोटे (n) के लिए सीधे जोड़ना भी तेज होता है।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(15,21,27,\ldots\) का कौन-सा पद (105) है?
Which term of the arithmetic progression \(15,21,27,\ldots\) is (105)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A चौदहवाँ पद / (14)th term
B पंद्रहवाँ पद / (15)th term
C सोलहवाँ पद / (16)th term
D सत्रहवाँ पद / (17)th term
Explanation opens after your attempt
Correct Answer
C. सोलहवाँ पद / (16)th term
Step 1
Concept
From (15+(n-1)6=105), (n=16). In exams, isolate (n-1) while solving.
Step 2
Why this answer is correct
The correct answer is C. सोलहवाँ पद / (16)th term. From (15+(n-1)6=105), (n=16). In exams, isolate (n-1) while solving.
Step 3
Exam Tip
(15+(n-1)6=105) से (n=16) है। परीक्षा में (n-1) को अलग करके हल करें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(4,9,14,19,\ldots\) के पहले (16) पदों का योग क्या है?
What is the sum of the first (16) terms of the arithmetic progression \(4,9,14,19,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (656)
B (664)
C (672)
D (680)
Explanation opens after your attempt
Step 1
Concept
\(S_{16}=\frac{16}{2}[8+15\times5]=664\). In exams, simplify the bracket first when a fraction appears.
Step 2
Why this answer is correct
The correct answer is B. (664). \(S_{16}=\frac{16}{2}[8+15\times5]=664\). In exams, simplify the bracket first when a fraction appears.
Step 3
Exam Tip
\(S_{16}=\frac{16}{2}[8+15\times5]=664\) है। परीक्षा में भिन्न आए तो पहले कोष्ठक सरल करें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(90,81,72,\ldots\) में (9) कौन-सा पद है?
In the arithmetic progression \(90,81,72,\ldots\), which term is (9)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A नौवाँ पद / (9)th term
B दसवाँ पद / (10)th term
C ग्यारहवाँ पद / (11)th term
D बारहवाँ पद / (12)th term
Explanation opens after your attempt
Correct Answer
B. दसवाँ पद / (10)th term
Step 1
Concept
From (90+(n-1)(-9)=9), (n=10). In exams, use the negative difference for a decreasing term.
Step 2
Why this answer is correct
The correct answer is B. दसवाँ पद / (10)th term. From (90+(n-1)(-9)=9), (n=10). In exams, use the negative difference for a decreasing term.
Step 3
Exam Tip
(90+(n-1)(-9)=9) से (n=10) है। परीक्षा में घटते पद के लिए ऋणात्मक अंतर लगाएँ।
Login to save your score, XP, coins and progress. Login
यदि \(a_n=62-4n\) है, तो कौन-सा पद (10) के बराबर होगा?
If \(a_n=62-4n\), which term will be equal to (10)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A बारहवाँ पद / (12)th term
B तेरहवाँ पद / (13)th term
C चौदहवाँ पद / (14)th term
D पंद्रहवाँ पद / (15)th term
Explanation opens after your attempt
Correct Answer
B. तेरहवाँ पद / (13)th term
Step 1
Concept
From (62-4n=10), (n=13). In exams, keep signs correct in a decreasing linear rule.
Step 2
Why this answer is correct
The correct answer is B. तेरहवाँ पद / (13)th term. From (62-4n=10), (n=13). In exams, keep signs correct in a decreasing linear rule.
Step 3
Exam Tip
(62-4n=10) से (n=13) है। परीक्षा में घटते रैखिक नियम में चिह्न सही रखें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(6,12,18,\ldots\) के पहले (11) पदों का योग क्या है?
What is the sum of the first (11) terms of the arithmetic progression \(6,12,18,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (386)
B (396)
C (406)
D (416)
Explanation opens after your attempt
Step 1
Concept
This is the sum of the first (11) multiples of (6), which is (396). In exams, identify sequences of multiples quickly.
Step 2
Why this answer is correct
The correct answer is B. (396). This is the sum of the first (11) multiples of (6), which is (396). In exams, identify sequences of multiples quickly.
Step 3
Exam Tip
यह (6) के पहले (11) गुणजों का योग है, जो (396) है। परीक्षा में गुणजों की श्रेणी को जल्दी पहचानें।
Login to save your score, XP, coins and progress. Login
यदि (a=24) और (d=-3) है, तो पहले (8) पदों का योग क्या है?
If (a=24) and (d=-3), what is the sum of the first (8) terms?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (108)
B (112)
C (116)
D (120)
Explanation opens after your attempt
Step 1
Concept
(S_8=\frac{8}{2}[48+7(-3)]=108). In exams, put negative (d) inside brackets.
Step 2
Why this answer is correct
The correct answer is A. (108). (S_8=\frac{8}{2}[48+7(-3)]=108). In exams, put negative (d) inside brackets.
Step 3
Exam Tip
(S_8=\frac{8}{2}[48+7(-3)]=108) है। परीक्षा में ऋणात्मक (d) को कोष्ठक में रखें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(10,15,20,\ldots\) के पहले (24) पदों का योग क्या है?
What is the sum of the first (24) terms of the arithmetic progression \(10,15,20,\ldots\)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1608)
B (1620)
C (1632)
D (1644)
Explanation opens after your attempt
Step 1
Concept
\(S_{24}=\frac{24}{2}[20+23\times5]=1620\). In exams, take ((n-1)=23) for (n=24).
Step 2
Why this answer is correct
The correct answer is B. (1620). \(S_{24}=\frac{24}{2}[20+23\times5]=1620\). In exams, take ((n-1)=23) for (n=24).
Step 3
Exam Tip
\(S_{24}=\frac{24}{2}[20+23\times5]=1620\) है। परीक्षा में (n=24) के लिए ((n-1)=23) लें।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(18,14,10,6,\ldots\) में (-10) कौन-सा पद है?
In the arithmetic progression \(18,14,10,6,\ldots\), which term is (-10)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A सातवाँ पद / (7)th term
B आठवाँ पद / (8)th term
C नौवाँ पद / (9)th term
D दसवाँ पद / (10)th term
Explanation opens after your attempt
Correct Answer
B. आठवाँ पद / (8)th term
Step 1
Concept
From (18+(n-1)(-4)=-10), (n=8). In exams, use the same formula even for negative terms.
Step 2
Why this answer is correct
The correct answer is B. आठवाँ पद / (8)th term. From (18+(n-1)(-4)=-10), (n=8). In exams, use the same formula even for negative terms.
Step 3
Exam Tip
(18+(n-1)(-4)=-10) से (n=8) है। परीक्षा में ऋणात्मक पदों के लिए भी वही सूत्र लगाएँ।
Login to save your score, XP, coins and progress. Login
समांतर श्रेणी \(4,10,16,\ldots\) में कितने पदों तक योग (490) होगा?
How many terms of the arithmetic progression \(4,10,16,\ldots\) have sum (490)?
#sequences
#progressions
#arithmetic-progression
#class-9
#hard
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
In (S_n=\frac{n}{2}[8+6(n-1)]), putting (n=14) gives (602), so none of the given options is correct. In exams, you can check quickly by substituting options.
Step 2
Why this answer is correct
The correct answer is D. (14). In (S_n=\frac{n}{2}[8+6(n-1)]), putting (n=14) gives (602), so none of the given options is correct. In exams, you can check quickly by substituting options.
Step 3
Exam Tip
(S_n=\frac{n}{2}[8+6(n-1)]) में (n=14) रखने पर (602) मिलता है, इसलिए दिए विकल्पों में सही मान नहीं है। परीक्षा में विकल्पों को रखकर भी जल्दी जाँच सकते हैं।
Login to save your score, XP, coins and progress. Login