Answer:
see explanation
Step-by-step 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
