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

nth Term of Arithmetic Sequence Example 10

Topic

Sequences and Series

Description

General Approach 

For an arithmetic sequence, the nth term formula is given by: an = a1 + d•( n − 1 ), where: a1 ​ 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: an = 22 + 8(n - 1)

21st term: 182

To find the formula:

  • First term (a₁) = 22
  • Common difference (d) = 30 - 22 = 8
  • Use the formula: an = a1 + (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