# Sum of Partial Sums of Arithmetic Sequence

This online calculator calculates partial sums of an arithmetic sequence and displays the sum of partial sums.

### This page exists due to the efforts of the following people:

#### Michele

Created: 2020-02-17 09:32:36, Last updated: 2020-12-11 12:13:51

A user request inspired this calculator. As you probably know, the arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. This difference is called common difference and the formula to compute the next number in the sequence is

$a_n=a_{n-1}+d=a_1+(n-1)d$

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

$S_p=\frac{(a_1+a_n)n}{2}$

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 difference, 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

#### Sum of Partial Sums of Arithmetic Sequence

Digits after the decimal point: 2
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