Question

Given the graph, description or sequence values create both an explicit and a recursive function 23.

Answer 1

by the values of the table, you can write for the recursive function:

`a_n=2a_(n-1)`

and for the explicit function:

`a_n=2^(n-3)`

For the recursive function, you can identify that each term is twice the previous one.

For the explcit function, you can replace the values of n for each given term, and verify:

`\begin{gathered} a_5=2^(5-3)=2^2=4 \\ a_6=2^(6-3)=2^3=8 \\ a_7=2^(7-3)=2^4=16 \end{gathered}`