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?

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

Mathagon

Definition

The Explicit Formula

The Sum

Arithmetic Sequences

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. 