Question

What is the next term of the geometric sequence?

Answer 1

Answer:

The next term of the given geometric sequence is -12.

Step-by-step explanation:

Given that,

A geometric sequence, $\dfrac{4}{9},\dfrac{-4}{3},4$

To find,

The next term of the geometric sequence.

Solution,

We have,

First term, $a=\dfrac{4}{9}$

Common ratio,

$r=\dfrac{-\dfrac{4}{3}}{\dfrac{4}{9}}\\\\r=-3$

The next term of the sequence is :

$T_4=ar^{n-1}\\\\=\dfrac{4}{9}\times (-3)^3\\\\T_4=-12$

So, the next term of the given geometric sequence is -12.

Reference,

brainly.com/question/13008517