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

Step-by-step 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.