What is the recursive rule for an=−3n+1 ? an= a1=

To find a1, put 1 in the given equation and evaluate.

... a1 = -3·1 +1

... a1 = -2

Each time n increases by 1, an is 3 less than the previous value. So, you can write the recursion relation as ...

... a[n] = a[n-1] - 3

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.