Question 21

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
The sum of n terms of the Progression $$1+\frac{1}{2}+\frac{1}{2^{2}}+\frac{1}{2^{3}}+ is \frac{2^{(n-1)}-1}{2^{(n-1)}}$$

Reason (R) :
Sum of a geometric series having n terms is given by $$S_{n} = \frac{a(1-r^{n})}{1-r}$$, where a is the $$1^{st}$$ term and r is the common ratio.

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