the 60th term of the arithmetic sequence -10, 8, 26, ...−10,8,26

Answer 1

The common difference between the terms of this sequence is 18, so the explicit formula for this sequence is:

A(n) = -10 + 18(n-1)

To find the 60th term, plug in 60 for n and solve:

A(60) = -10 + 18*59 = 1052

So the 60th term is 1052.

Answer 2

This is arithmetic sequence: a₁ = - 10; d = 8 - (- 10) = 18; a₆₀ = a₁ + 59d = - 10 + 59·18 = 1052