Given the sequence 17, 21, 25,...589

a) Find the 123rd term in this sequence.

1 answer

looks like an arithmetic sequence where
a = 17, d = 4

term(123) = a +122d
= 17 + 122(4) = 505

btw, 589 = 17 + 4(n-1)
589 = 17 + 4n - 4
4n = 576
n = 144
there are 144 terms in the sequence