Question

Assertion (A): The 50th term from the end of the G.P. $$4, 6, 9, \frac{27}{2}, .... \frac{6561}{64}$$ is $$\frac{27}{2}$$. 

Reason (R): nth term from the end of a G.P. is given by $$\frac{l}{r^{n - 1}}$$.

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 true: the nth term from the end of a G.P. is $$\frac{l}{r^{n - 1}}$$. However, the given G.P. has $$a = 4$$, $$r = \frac{3}{2}$$ and $$l = \frac{6561}{64}$$, so it has only 9 terms; a 50th term from the end does not exist, making assertion A false.