Finding the nth Term Of an Arithmetic Sequence: Example 1

Topic

Sequences and Series

Description

General Approach 

For an arithmetic sequence, the nth term formula is given by: a_n = a₁ + ( n − 1 ) ⋅ d, 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: [1, 4, 7, 10, 13]

Formula: a_n = 1 + 3(n - 1)

17th term: 49

To find the formula:

• First term (a₁) = 1
• Common difference (d) = 3
• Use the formula: a_n = a₁ + (n - 1)d

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