Let a₁, a₂/2, a₃/2² be a G.P.... | JEE Main 2026 | Sequences

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JEE MAIN 2026

21-01-2026 S2

Question

Let $a_1, \frac{a_2}{2}, \frac{a_3}{2^2}, \ldots, \frac{a_{10}}{2^9}$ be a G.P. of common ratio $\frac{1}{\sqrt{2}}$. If $a_1+a_2+\ldots+a_{10}=62$, then $a_1$ is equal to:

Select the correct option:

A

$2(\sqrt{2}-1)$

B

$2-\sqrt{2}$

C

$\sqrt{2}-1$

D

$2(2-\sqrt{2})$

✓ Correct! Well done.

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