Question

The 5th term from the end of G.P. 2, 4, 8, ..... 4096 is ______.

Options

• 128

• 256

• 512

• 1024

Answer 1

The 5th term from the end of G.P. 2, 4, 8, ..... 4096 is 256.

Explanation:

Last term (l) = 4096

r = `4/2`

= 2

n = 5

`a_n = l/(r^((n - 1)))`

`a_5 = 4096/(2^((5 - 1)))`

`a_5 = 4096/2^4`

`a_5 = 4096/16`

a₅ = 256