Find the area of a regular hexagon with the given measurement.
6-inch radius A = sq. in

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dogsarecute278

23.02.2022

Mathematics

The next term of the geometric sequence is -12.

Step-by-step explanation:

Given : Sequence $\frac{4}{9},-\frac{4}{3},4$

To find : What is the next term of the geometric sequence ?

Solution :

The first term of the geometric sequence is $a=\frac{4}{9}$

The common ratio of sequence is $r=\frac{a_2}{a_1}$

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

r=-3

The fourth term of the sequence is a_4=ar^3

$a_4=(\frac{4}{9})(-3)^3$

$a_4=\frac{4}{9}\times -27$

a_4=-12

Therefore, the next term of the geometric sequence is -12.

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Find the area of a regular hexagon with the given measurement. 6-inch radius A = sq. in