Question

6. Given the explicit formula, find the first three

terms (substitute 1,2, and 3 respectively into the
formula) and write the recursive formula

an = 3^n-1

Answer 1

Explanation:

Given the explicit formula : an =
`3^(n-1)` find the first three terms

• Term 1:

n = 1 => a(1) =
`3^(1-1)` =
`3^(0) = 1`

• Term 2:

n = 2 => a(2) =
`3^(2-1)=3^(1) =3`

• Term 3:

n= 3 => a(3) =
`3^(3-1)=3^(2) =9`

• the recursive formula:

`\left \{ {{a(1)=1} \atop {a(n)=3^(n-1) }} \right.`

Hope it will find you well.