Geometric Progression Sum (Jee Mains)

Arithmetic and Geometric Progression

Medium

Geometric Progression Sum

Let a₁, $\frac{{{a_2}}}{2},\frac{{{a_3}}}{{{2^2}}}$ ,…., $\frac{{{a_{10}}}}{{{2^9}}}$ be a G.P. of common ratio $\frac{1}{{\sqrt 2 }}$ . If a₁ + a₂+…+ a₁₀= 62, then a₁ is equal to :

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