Question

Assertion (A): The sum of first 10 terms of the G.P. 3, 6, 9, 12, ... is 3096.

Reason (R): The sum of first n-terms of a G.P. is given by $$S_{n} = \frac{a(r^{n} - 1)}{r - 1}$$.

Options

• Both A and R are true, and R is the correct explanation of A.

• Both A and R are true, but R is not the correct explanation of A.

• A is true, but R is false.

• A is false, but R is true.

Answer 1

A is false, but R is true.

Explanation:

Reason R is the correct formula for the sum of n terms of a G.P. when r > 1. But the sequence 3, 6, 9, 12, ... is an arithmetic progression, not a geometric progression, so the assertion is false.