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Partial sums for a sequence are sums of the first one, first two, first three, etc numbers of the sequence. So, the series of partial sums is:2, 6, 14, 30, 62, ...


It is the sequence whose nth term is

T(n) = 2^(n+1) - 2 for n = 1, 2, 3, ...

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Q: What are the partial sums of the infinite geometric sequence 2 4 8 16 32 64...?
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What does Geometric Series represent?

A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)


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