SOLUTION: Hello. Hoping you can help me answer this question. A) write geometric series -9/2+3/2-1/2+1/6...+1/39366 in summation notation. B)using the formula for the sum of an geometric ser

Question 891682: Hello. Hoping you can help me answer this question. A) write geometric series -9/2+3/2-1/2+1/6...+1/39366 in summation notation. B)using the formula for the sum of an geometric series, compute the sum.
Here's what I know. The numerator is multiplied by 1/3 to get from each term to the next. The denominator decreases by 1 when comparing n=term #, n=1 to denom in -9/2, 2-1=1, n=2 in 3/2, 2-2=0 and so on. I see the pattern, just not sure how to write it. Also, when writing it in sn, I know my bottom starting amount will be n=1
Any help you can give would be appreciated. Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
It looks like each successive number is multiplied by
2nd term :
3rd term :
4th term :
So then, continuing on,
would be the 12th term.
The constant term would be,

So then, the series would look like,

The sum would then be,

So for

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