Let's say I have an equation that includes the Sum, ∑ni=012(−5)i where n is the last term in the sequence.
We know that this sequence is geometric because the common difference is a multiple of −5 meaning that every term is multiplied by −5.
The sequence goes like:
12,−52,252,−1252,…,n
My question is, how do we find the sum of this geometric sequence when the upper bound of the sigma notation is n? Is there some sort of formula that we can use in order to find the sum?
Thanks in advance!
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