Question

Write a recursive formula sequence that represents the sequence defined by the following explicit formula a_n= -5(-2)^n+1

a1=
an= (recursive)

Answer 1

`\left \{ {{a_1=1} \atop {a_n=a_(n-1)-5}} \right.`

Explanation:

The recursive formula of an arithmetic sequence is
`\left \{ {{a_1=x} \atop {a_n=a_(n-1)+d}} \right.`. Plugging in each value (
`a_1 = 1, d=-5`) gives us the recursive formula 
`\left \{ {{a_1=1} \atop {a_n=a_(n-1)-5}} \right.`.