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The geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. The formula to compute the next number in the sequence is
You can also sum numbers on the sequence up to a certain index n (which is called partial sum); the formula for the partial sum would be
But you can also sum these partial sums as well. This is what the calculator below does. You enter the first term of the sequence, the common ratio, and the last index to compute, and the calculator displays the table with the following columns:
- index i
- i-th member of the sequence
- i-th partial sum
- i-th sum of partial sums