Question

Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Answer 1

1183

Explanation:

Common difference:

d = 31 - 15 = 16

nth term:

`a_n = a_1 + (n - 1)d`

Here,
`a_1 = -1`

`a_(75) = -1 + (75 - 1)(16)`

`a_(75) = 1183`