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 521-530 of 601 questions.
In a sequence, \(y_1=7\) and (y_n=y_{n-1}+(n-1)2). What is the value of \(y_5\)?
A. सैंतीस(37)
\(y_5=7+1+4+9+16=37\) है। परीक्षा में (n-1) का वर्ग लेना न भूलें। / \(y_5=7+1+4+9+16=37\). In exams, remember to square (n-1).
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If \(z_1=2\), \(z_2=3\), and \(z_n=z_{n-1}z_{n-2}+1\), what is the value of \(z_5\)?
D. एक सौ पचपन(155)
\(z_3=7\), \(z_4=22\) और \(z_5=155\) मिलता है। परीक्षा में पिछले दो पदों का गुणन सही करें। / \(z_3=7\), \(z_4=22\), and \(z_5=155\). In exams, multiply the two previous terms carefully.
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In a sequence, \(A_1=1\) and \(A_n=nA_{n-1}+1\). What is the value of \(A_4\)?
B. इकतालीस(41)
\(A_2=3\), \(A_3=10\) और \(A_4=41\) है। परीक्षा में (n) से गुणा करके (1) जोड़ें। / \(A_2=3\), \(A_3=10\), and \(A_4=41\). In exams, multiply by (n) and then add (1).
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If \(B_1=9\) and \(B_n=B_{n-1}+2^n\), what is the value of \(B_4\)?
C. सैंतीस(37)
\(B_4=9+4+8+16=37\) है। परीक्षा में जोड़ (n=2) से शुरू होता है। / \(B_4=9+4+8+16=37\). In exams, the addition starts from (n=2).
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In a sequence, \(C_1=5\) and (C_n=C_{n-1}+n(n-1)). What is the value of \(C_4\)?
A. पच्चीस(25)
\(C_4=5+2+6+12=25\) है। परीक्षा में (n(n-1)) को पहले सरल करें। / \(C_4=5+2+6+12=25\). In exams, simplify (n(n-1)) first.
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If \(D_1=2\) and \(D_n=2D_{n-1}+n-1\), what is the value of \(D_4\)?
D. सत्ताईस(27)
\(D_2=5\), \(D_3=12\) और \(D_4=27\) है। परीक्षा में (n-1) को अलग से जोड़ें। / \(D_2=5\), \(D_3=12\), and \(D_4=27\). In exams, add (n-1) separately.
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If \(E_1=1\), \(E_2=4\), and \(E_n=E_{n-1}+E_{n-2}+2\), what is the value of \(E_5\)?
C. बाईस(22)
\(E_3=7\), \(E_4=13\) और \(E_5=22\) है। परीक्षा में दोनों पिछले पदों के बाद (2) जोड़ें। / \(E_3=7\), \(E_4=13\), and \(E_5=22\). In exams, add (2) after using both previous terms.
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In a sequence, \(F_1=20\) and \(F_n=F_{n-1}-2n+1\). What is the value of \(F_5\)?
B. ऋण चार(-4)
\(F_2=17\), \(F_3=12\), \(F_4=5\) और \(F_5=-4\) है। परीक्षा में घटाई जाने वाली राशि (2n-1) समझें। / \(F_2=17\), \(F_3=12\), \(F_4=5\), and \(F_5=-4\). In exams, understand the subtracted amount as (2n-1).
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If \(G_1=3\) and \(G_n=n+2G_{n-1}\), what is the value of \(G_4\)?
A. बयालीस(42)
\(G_2=8\), \(G_3=19\) और \(G_4=42\) है। परीक्षा में (n) जोड़ने से पहले पिछले पद को दोगुना करें। / \(G_2=8\), \(G_3=19\), and \(G_4=42\). In exams, double the previous term before adding (n).
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In a sequence, \(H_1=2\) and (H_n=H_{n-1}+n(n+1)). What is the value of \(H_4\)?
D. चालीस(40)
\(H_4=2+6+12+20=40\) है। परीक्षा में (n(n+1)) को प्रत्येक चरण पर निकालें। / \(H_4=2+6+12+20=40\). In exams, calculate (n(n+1)) at each step.
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