What is the 30th term of the arithmetic series 2, 5, 8, ...? a. 89 b. 88 c. 87 d. 86

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the sequence:

2, 5, 8, …

a1 = 2

Determine the 30th term.

n = 30

d = 5 - 2
d = 3

Formula for arithmetic sequence:

An = a1 + (n-1)d

Solution:

Substitute the given values of a1, n, and d to the equation.

An = 2 + (30 - 1) 3

An = 2 + (29)3

An = 2 + 87

An = 89

Final answer:
a. 89

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