Question

# Find an infinite G.P. whose first term is 1 and each term is the sum of all the terms which follow it.

Solution

## a = 1 an=an+1+aa+2+an+3+.... arn−1+arn+arn+1+arn+2+.... arn−1=arn(1+r+r2+....∞ 1=r(11−r) 1−r=r 1=2r r=12 G.P. is 1,12,14,18,.....∞ Thus the infinite.

Suggest corrections