SOLUTION: Evaluate:
∞
Σ (1/3)(-4/3)^k
k=1
I hope I asked this right, the infinite is on top of the sigma. K=1 is on the bottom. And the rest is to the right of the sigma
Algebra.Com
Question 1040821: Evaluate:
∞
Σ (1/3)(-4/3)^k
k=1
I hope I asked this right, the infinite is on top of the sigma. K=1 is on the bottom. And the rest is to the right of the sigma. Thank you! Just want to check my answer, haven't done sequences since high school.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This is a geometric series of the form where n is a whole number.
In this case, and
The rule is this: an infinite geometric series converges to a fixed number if and only if
But because (approx) is NOT in the interval , this means that the infinite geometric series does NOT converge.
So the geometric series ^k)
diverges. It will not approach a fixed number>
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