first term a1 = 5, common difference d = 9
nth term = a1 + (n - 1) d
66th term = 5 + (66-1)9
= 590 answer
5,14,23,32, ...
n1 = 5
Common difference = 9 (14 - 5 = 5; 23 -14 = 9; 32 - 23 = 9; etc...)
So formula: An = 5 + 9(n - 1)
66th term = 5 + 9(66 - 1)
= 5 + 9(65)
= 5 + 585
= 590
Answer
590
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