Question

Write a recursive formula for each sequence given or described below.

Answer 1

Answer:

Recursive form of sequence is given by f(n)=12f(n-1)

Step-by-step explanation:

The explicit form of sequence is  given as

        f(n) = −1(12)ⁿ⁻¹

So nth term is given by

            f(n) = −1(12)ⁿ⁻¹

(n-1)th term is given by    

            f(n-1) = −1(12)ⁿ⁻²

We have

                $\frac{f(n)}{f(n-1)}=\frac{-1\times 12^{n-1}}{-1\times 12^{n-2}}=12^{n-1-n+2}=12\\\\f(n)=12f(n-1)$

Recursive form of sequence is given by f(n)=12f(n-1)