First slide

Series

Question

Find the sum of given geometric series 1+2+4+8+.........+256

Moderate

A

509
B

510
C

511
D

512

Solution

$Here, a = 1, r = 2, n = 9 [∵ 256 = 2^{8}] . S_{9} = \frac{(1) (1 - 2^{9})}{(1 - 2)} = 2^{9} - 1 = 512 - 1 = 511$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App