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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