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
llm
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