Given the infinite series

a)show that the series is a geometric series

b)determine the set of value of so that the sum to infinity , exist

c)if , find the sum of the first five terms, and .Show that

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- Jul 7th 2011, 07:48 AMmastermin346geometric series problem
Given the infinite series

a)show that the series is a geometric series

b)determine the set of value of so that the sum to infinity , exist

c)if , find the sum of the first five terms, and .Show that - Jul 7th 2011, 08:15 AMemakarovRe: geometric series problem
This problem is solved in a standard way, so you need to show some effort.

converges iff . When you are looking for the set of x for which the series converges, remember that an equality changes sign when multiplied by a negative number. - Jul 7th 2011, 08:20 AMmastermin346Re: geometric series problem
what should i do sir?

- Jul 7th 2011, 08:32 AMPlatoRe: geometric series problem
- Jul 7th 2011, 08:32 AMemakarovRe: geometric series problem
For part (a), study the definition of geometric progression and geometric series.

For part (b), I gave you a hint. I used the term "converges." By definition, a series converges iff its sum to infinity exists.