What is the recursive formula for finding the nth term of the given geometric sequence?13,-39,117,-351,...

Question

asked Sep 6, 2023 23.5k views

1 Answer

Chuleta · Answer 1 · 2023-09-10T22:18:09+0000

Solution:

Given:

The recursive formula of a geometric sequence is given by;

$a_n=a_(n-1)\cdot r$

The common ratio is;

$\begin{gathered} r=(-39)/(13)=(117)/(-39) \\ r=-3 \end{gathered}$

The first term is;

Therefore, the recursive formula is;

$\begin{gathered} a_n=a_(n-1)(-3) \\ a_n=-3(a_(n-1)) \end{gathered}$