a(1)= 3 5 a(n)=a(n−1)⋅(−9) What is the 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript term in the sequence?

-630

Step-by-step explanation:

Given the nth term of a sequence;

a(n)=a(n−1)⋅(−9) and the first term of the sequence a(1) as 35, the third term of the sequence can be gotten by using the formula at when n = 3

If n = 3 and a(1) = 35;

a(3) = 35(3-1)•(-9)

a(3) = 35×2×-9

a(3) = 70×-9

a(3) = -630

There the 3rd term of the series will give us -630 according to the nth term of the formula given.