Question

Determine whether the sum to infinity of the following G.P’.s exist. If exists, find it:

`1/5, (-2)/5, 4/5, (-8)/5, 16/5`, ...

Answer 1

`1/5, (-2)/5, 4/5, (-8)/5, 16/5`, ...

`"a" = 1/5, "r" = ((-2)/5)/(1/5)` = – 2

Since, | r | = |– 2| < 1

∴ Sum to infinity does not exist.