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Math Example--Sequences and Series--Finding the nth Term of an Arithmetic Sequence: Example 10

#### Display Title

Math Example--Sequences and Series--Finding the nth Term of an Arithmetic Sequence: Example 10

# Finding the nth Term Of an Arithmetic Sequence: Example 10

## Topic

Sequences and Series

## Description

General Approach

For an arithmetic sequence, the nth term formula is given by: a_{n} = a_{1} + d•( n − 1 ), where: a_{1} is the first term of the sequence, d is the common difference between consecutive terms, and n is the term number.

Given Sequence

Sequence: [22, 30, 38, 46, 54]

Formula: a_{n} = 22 + 8(n - 1)

21st term: 182

To find the formula:

- First term (a₁) = 22
- Common difference (d) = 30 - 22 = 8
- Use the formula: a
_{n}= a_{1}+ (n - 1)d

For a complete collection of math examples related to Sequences and Series click on this link: __Math Examples: Sequences and Series Collection.__

Common Core Standards | CCSS.MATH.CONTENT.HSF.BF.A.2 |
---|---|

Grade Range | 9 - 11 |

Curriculum Nodes |
Algebra• Sequences and Series• Sequences |

Copyright Year | 2022 |

Keywords | arithmetic sequences |