If $(1.05)^{50}=11.658$, then $\sum_{n=1}^{49}(1.05)^n$ equals

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

(1.05)^{50}=11.658

, then

\sum_{n=1}^{49}(1.05)^n

equals

View answer and explanation

Correct option: C

212.16

Option C (212.16) is correct because the sum of the geometric series can be calculated using the formula for the sum of a GP, and substituting the given value of (1.05)⁵⁰.

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