Question

Consider the G.P. $$a, ar, ar^{2}, ........, l$$. The kth term from the end is ______.

Options

• $$\frac{l}{r^{k - 1}}$$

• $$\frac{l}{k}$$

• $$\frac{al}{r^{k}}$$

• $$\frac{l}{ar^{k - 1}}$$

Answer 1

Consider the G.P. $$a, ar, ar^{2}, ........, l$$. The kth term from the end is `underlinebb(l/(r^(k - 1))`.

Explanation:

Moving backward from the last term divides by the common ratio each time. Hence, the $$k$$th term from the end is $$\frac{l}{r^{k - 1}}$$.