1. ## Infinite Geometric Series

edit: I don't know how to type this problem in it's original format so please bear with it.

E (sigma sign), with an infinite sign above it and with 'i'=0 below it. Then to its right is the equation 3i + 5/4i.

How would I find the initial value a1 and the 'r' value? This is a sum of the infinite geometric series problem.

Any help of feedback would be greatly appreciated, thanks.

2. Originally Posted by Gitano

edit: I don't know how to type this problem in it's original format so please bear with it.

E (sigma sign), with an infinite sign above it and with 'i'=0 below it. Then to its right is the equation 3i + 5/4i.

How would I find the initial value a1 and the 'r' value? This is a sum of the infinite geometric series problem.

Any help of feedback would be greatly appreciated, thanks.
ummmm...... If this is what you mean it is not a geometric series

$\displaystyle \sum_{i=0}^{\infty}\frac{3i+5}{4i}$

If you meant this it is also not geometric

$\displaystyle \sum_{i=0}^{\infty}3i +\frac{5}{4i}$

either way since i goes to infinity both series diverge

3. I meant the first equation you posted. Well the question says to find the sum of the series and according to the answer key, it is 32/3. I am just not quite sure as to how to get that answer.

Thanks for the feedback.

4. I strongly suspect you have misread the problem. In the first place, it is NOT a "geometric series" as TheEmptySet said. In the second place, it is NOT defined when i= 0 and so the sum is impossible!

Go back and check the problem carefully.

5. Originally Posted by HallsofIvy
I strongly suspect you have misread the problem. In the first place, it is NOT a "geometric series" as TheEmptySet said. In the second place, it is NOT defined when i= 0 and so the sum is impossible!

Go back and check the problem carefully.

Yeah maybe you are right. By looking at 'i'=0 I knew the initial value was undefined and that the problem was possibly not a geometric series. It is just the answer key that threw me off. Maybe the answer key is wrong.