Sequences and series

A geometric series adds up the terms of a geometric sequence (each term a constant ratio times the one before it), and as long as that ratio isn't 1, the whole finite sum has its own formula: for example, a series starting at 2 with ratio 3, summed over 4 terms, 2 + 6 + 18 + 54 = 80, useful for problems like calculating the total of a series of loan payments.

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