Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 571-580 of 601 questions.
In a sequence, \(y_1=2\) and (y_n=y_{n-1}+(2n-1)2). What is the value of \(y_4\)?
C. पचासी(85)
\(y_4=2+9+25+49=85\) है। परीक्षा में (2n-1) का वर्ग लेना न भूलें। / \(y_4=2+9+25+49=85\). In exams, remember to square (2n-1).
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If \(z_1=1\), \(z_2=3\), and \(z_n=z_{n-1}z_{n-2}+n\), what is the value of \(z_5\)?
B. एक सौ सैंतीस(137)
\(z_3=6\), \(z_4=22\) और \(z_5=137\) है। परीक्षा में पिछले दो पदों का गुणन करके (n) जोड़ें। / \(z_3=6\), \(z_4=22\), and \(z_5=137\). In exams, multiply the previous two terms and then add (n).
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In a sequence, \(A_1=2\) and (A_n=(n+1)A_{n-1}+2). What is the value of \(A_3\)?
D. चौंतीस(34)
\(A_2=8\) और \(A_3=34\) है। परीक्षा में गुणक (n+1) को सही लगाएँ। / \(A_2=8\) and \(A_3=34\). In exams, apply the multiplier (n+1) correctly.
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If \(B_1=11\) and \(B_n=B_{n-1}+2^n-n\), what is the value of \(B_4\)?
A. तीस(30)
\(B_4=11+2+5+12=30\) है। परीक्षा में \(2^n-n\) को हर चरण पर निकालें। / \(B_4=11+2+5+12=30\). In exams, calculate \(2^n-n\) at each step.
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In a sequence, \(C_1=4\) and (C_n=C_{n-1}+n(n+2)). What is the value of \(C_4\)?
C. इक्यावन(51)
\(C_4=4+8+15+24=51\) है। परीक्षा में (n(n+2)) को पहले सरल करें। / \(C_4=4+8+15+24=51\). In exams, simplify (n(n+2)) first.
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If \(D_1=5\) and (D_n=3D_{n-1}-(n+1)), what is the value of \(D_4\)?
B. इक्यानवे(91)
\(D_2=12\), \(D_3=32\) और \(D_4=91\) मिलता है। परीक्षा में (n+1) को घटाना न भूलें। / \(D_2=12\), \(D_3=32\), and \(D_4=91\). In exams, do not forget to subtract (n+1).
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If \(E_1=2\), \(E_2=4\), and \(E_n=E_{n-1}+E_{n-2}+n\), what is the value of \(E_5\)?
D. इकतीस(31)
\(E_3=9\), \(E_4=17\) और \(E_5=31\) है। परीक्षा में दोनों पिछले पदों के साथ (n) जोड़ें। / \(E_3=9\), \(E_4=17\), and \(E_5=31\). In exams, add (n) along with both previous terms.
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In a sequence, \(F_1=90\) and (F_n=F_{n-1}-n(n+1)). What is the value of \(F_4\)?
A. बावन(52)
\(F_4=90-6-12-20=52\) है। परीक्षा में (n(n+1)) को घटाएँ, जोड़ें नहीं। / \(F_4=90-6-12-20=52\). In exams, subtract (n(n+1)), do not add it.
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If \(G_1=1\) and \(G_n=2G_{n-1}+2n+1\), what is the value of \(G_4\)?
C. इक्यावन(51)
\(G_2=7\), \(G_3=21\) और \(G_4=51\) है। परीक्षा में दोगुना करने के बाद (2n+1) जोड़ें। / \(G_2=7\), \(G_3=21\), and \(G_4=51\). In exams, add (2n+1) after doubling.
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In a sequence, \(H_1=6\) and (H_n=H_{n-1}+(n-1)(n+1)). What is the value of \(H_5\)?
B. छप्पन(56)
\(H_5=6+3+8+15+24=56\) है। परीक्षा में ((n-1)(n+1)) को सही सरल करें। / \(H_5=6+3+8+15+24=56\). In exams, simplify ((n-1)(n+1)) correctly.
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