Finding the nth Term Of an Arithmetic Sequence: Example 5

Topic

Sequences and Series

Description

General Approach 

For an arithmetic sequence, the nth term formula is given by: a_n = 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: [10, 13, 16, 19, 22]

Formula: a_n = 10 + 3(n - 1)

30th term: 97

To find the formula:

• First term (a₁) = 10
• Common difference (d) = 13 - 10 = 3
• Use the formula: a_n = 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.