Progression (Sequence and Series)Hard

Question

If the sum of the series = S, for |r| < 1 then the sum of the series is :-

Options

A.S²

B.

C.

D.

Solution

= S ⇒ 1 + r + r² +.....∞ = S
⇒ = S ⇒ r =
Now = 1 + r² + r⁴ + ..... ∞

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