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

Find the sum of given series `1+2+4+8+………+ 256`

A

510

B

511

C

512

D

513

Verified by Experts

The correct Answer is:

B

Here a=1 r=2, n=9`(because 256 = 2^(8))`. So `S_(9) = ((1)(1-2^(9)))/((1-2)) = 2^(9) -1=512-1=511`

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