Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The explicit rule for a sequence is given.

Answer 1

Answer:
`\bold{a_1=(1)/(2)\qquad a_n=\bigg((4)/(3)\bigg)a_(n-1)}`

Explanation:

The explicit rule for a geometric sequence is:
`a_n=a_1(r)^(n-1)\quad \text{where}\ a_1\ \text{is the first term and r is the common ratio}`

`\text{From the explicit rule provided:}\ a_n=(1)/(2)\bigg((4)/(3)\bigg)^(n-1)}\\ \text{we know that}\ a_1=(1)/(2)\ \text{and r =} (4)/(3)`

`\text{The recursive rule for a geometric sequence is:}\ a_n = (r)a_(n-1) \\\\\text{So, the recursive rule is:}\ a_n=\bigg((4)/(3)\bigg)a_(n-1)`