MathsJEE Main 21 Jan 2026, Shift 2·Q12·MCQ·Easy–moderate

Sequences & Series · Geometric progression

Let

a_1, \dfrac{a_2}{2}, \dfrac{a_3}{2^2}, \ldots, \dfrac{a_{10}}{2^9}

be a G.P. of common ratio

\dfrac{1}{\sqrt2}

. If

a_1 + a_2 + \ldots + a_{10} = 62

, then

a_1

is equal to:

(1) $2\left(\sqrt2 - 1\right)$
(2) $2 - \sqrt2$
(3) $\sqrt2 - 1$
(4) $2(2 - \sqrt2)$

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