Answer:
The sum of your series can be easily obtained using the formula: Sum n = (n/2)[a(1) + a(n)], where a(1) is the first term (lower limit) and a(n) the nth term of the original sequence. The nth term can in turn be found using the following formula: a(n) = a(1) + (n - 1) CD, where CD is the common difference of the arithmetic sequence. Now, in order to estimate the value of a series, we have to know first whether the series converges or not, because it makes no sense to talk about the value of a series that does not converge. Up to know we are able to calculate the partial sum (Sum n) of the first n terms. However, assuming the series is convergent, the final value of the series is: S = Sum n + Rn, where Rn denotes the remainder. The remainder tells us the difference, or error, between the exact value of the series and the value of the partial sum (Sum n) that we used as an estimation of the value S. There are many tests that will allow you to get good estimates of the remainder. You can find them in the world wide web.
Step-by-step explanation:
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