Question

Given the explicit formula for an arithmetic sequence find the first five terms and the

52nd term:
an = -5n-22

Answer 1

see explanation

Explanation:

to find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the explicit formula

a₁ = - 5(1) - 22 = - 5 - 22 = - 27

a₂ = - 5(2) - 22 = - 10 - 22 = - 32

a₃ = - 5(3) - 22 = - 15 - 22 = - 37

a₄ = - 5(4) - 22 = - 20 - 22 = - 42

a₅ = - 5(5) - 22 = - 25 - 22 = - 47

to find a₅₂ substitute n = 52 into the explicit formula

a₅₂ = - 5(52) - 22 = - 260 - 22 = - 282