Each infinite series has two related sequences: The sequecne of terms and the sequence of partial sums. Discuss what these two sequences and how they differ?

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Each infinite series has two related sequences: The sequecne of terms and the sequence of partial sums. Discuss what these two sequences and how they differ?

Mathematics
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Suppose you have the series 1 + 1/2 + 1/4 + 1/8 + ... The first sequence is simply the LIST of terms: 1, 1/2, 1/4, etc. The second sequence is the list of partial sums. These are sums of the first n terms: sum 1: 1 sum 2: 1 + 1/2 = 3/2 sum 3: 1 + 1/2 + 1/4 = 7/4 etc. You should be able to take it from here.

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