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GATE EC 2026 Set 1 — Question 36

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MCQ+2 / -0.67MediumSequences, Series & ConvergenceCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Sequences, Series & Convergence

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Question

Consider the two series, SAS_A and SBS_B, where SA=∑n=1∞n22nS_A = \sum_{n=1}^{\infty} \frac{n^2}{2^n}SB=1+12+18+116+164+1128+1512+…S_B = 1 + \frac{1}{2} + \frac{1}{8} + \frac{1}{16} + \frac{1}{64} + \frac{1}{128} + \frac{1}{512} + \dotsWhich of the following statements is correct for the two given series?
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