Name: How Do You Write the Formula for an Arithmetic Sequence?
Uploaded: 2024-01-11T12:18:08.584Z
Channel: House of Math
Description: 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.

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.

How Do You Write the Formula for an 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

A sequence is a list of items, called elements, with a particular order

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. 