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