Question

The 6th term from the end of the G.P. 8, 4, 2, ......., $$\frac{1}{1024}$$ is ______.

Options

• $$\frac{1}{32}$$

• $$\frac{1}{16}$$

• $$\frac{1}{64}$$

• $$\frac{1}{128}$$

Answer 1

The 6th term from the end of the G.P. 8, 4, 2, ......., $$\frac{1}{1024}$$ is `underlinebb(1/32)`.

Explanation:

The common ratio is $$\frac12$$. The sixth term from the end is $$\frac{1/1024}{(1/2)^5} = \frac{32}{1024} = \frac1{32}$$.