Name: How Do You Calculate the Sum of a Finite Arithmetic Sequence?
Uploaded: 2024-01-11T12:18:08.584Z
Channel: House of Math
Description: The sum of an arithmetic sequence is found by a formula. Watch the video to learn more.

The sum of an arithmetic sequence is found by a formula. Watch the video to learn more.

How Do You Calculate the Sum of a Finite Arithmetic Sequence?

The explicit formula for an arithmetic sequence relates the index to the elements value via the first element and the common difference. This video explains how. 

A sequence where each element is the previous element plus a fixed number c, called the common difference

The common difference, c, is a fixed number in arithmetic sequences. It is the difference between consecutive pairs of terms.

A formula relating the element of the sequence and its index