Question

1-3/2+5/4-7/8
Find sum to infinity

Answer 1

Hi dude.......

HERE IS UR ANSWER:

In this case:
Let S = 1 - (3/2) + (5/4) - (7/8) + ...
So S/2 = (1/2) - (3/4) + (5/8) + ...

Add those together:
(3/2)S = 1 - (2/2) + (2/4) - (2/8) + ...

Double that:
3S = 2 - (4/2) + (4/4) - (4/8) + ...

Add those last two together:
(9/2)S = 2 + 1 - (4/2), and the rest cancels itself out
(9/2)S = 2 + 1 - 2
(9/2)S = 1
S = 2/9

》》》S=2/9

HOPE THIS HELPS......
@harsha889