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Sum of Partial Sums of Geometric Sequence

This online calculator calculates partial sums of geometric sequence and displays sum of partial sums.

This calculator was inspired by user request. As you probably know, 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

a_n=ra_{n-1}=a_1r^{n-1}

You can also sum numbers on the sequence up to certain index n (which is called partial sum), the formula for the partial sum would be

S_p=\frac{a_1(r^n-1)}{r-1}

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

PLANETCALC, Sum of Partial Sums of Geometric Sequence

Sum of Partial Sums of Geometric Sequence

Digits after the decimal point: 2

Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Sum of Partial Sums of Geometric Sequence

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