Question

Well, my eschool lessons are VERY lacking in info so I'm clueless as what to do.
What is the common difference of a 57-term arithmetic sequence where the first term is -25 and the sum is 17,727?

Answer 1

Here, data given is:

a = -25
Sum = 17727
d = ??
n = 57

Use the sum formula:

\[\huge Sum = \frac{n}{2}(2a + (n-1)d)\]

Plug in the values and find d from here..

Answer 2

(first term + last term)*(number of terms)/2 = (sum of terms)
(last term) = (first term) + ((number of terms)-1)*(common difference)

Answer 3

Thanks

Answer 4

Welcome dear and I must say:

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