Given the sequence 2, 5, 8, 11, 14, ..., which term is 59? (Hint: find n.)

Question

Carissa

Mathematics

16 October, 13:58

Given the sequence 2, 5, 8, 11, 14, ..., which term is 59? (Hint: find n.)

+3

Answers (1)

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Quinton Peters · Answer 1

N = 3 (the next number is 3 plus the previous number

sequence formula = an = 3 (n-1) + 2

so for term the term that = 59

59 = 3 (n-1) + 2

distribute:

59 = 3n - 3+2

59 = 3n - 1

60 = 3n

n = 60/3

n = 20

59 is the 20th term