Math, asked by rameshkumarpirihar, 10 months ago

if 1 + 2 + 4 + 8 + 2n terms is equal to 255 then the value of n is​

Answers

Answered by keerthistar2005
8

1+2+4+8+2n=255

15+2n=255

2n=255-15

2n=240

n=240/2

n=120

Answered by Acharya01
3

Answer:

Given:

1+2+4+8+ .... 2n = 255

This series is a geometric progression, hence we can use the sum of geometric progression to n terms to find the answer.

a=1 ; r = 2

Sn = a(r^n-1)/(r-1)

255 = 1(2^2n - 1)/(2-1)

» 255 = 4^n - 1

» 256 = 4^n

» n = 4

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