Find the next 3 terms of the geometric sequence. Put commas between each number but no spaces Ex: 1,2,3.2,-4,8,-16, ...

Question

asked Feb 3, 2023 38.3k views

1 Answer

WebBrother · Answer 1 · 2023-02-08T04:58:09+0000

The sequence is 2,-4,8,-16,....

Determine the common ratio of terms for the sequence.

$\begin{gathered} r=-(4)/(2) \\ =-2 \end{gathered}$

So every next term in the sequance is obtained by multiplication of -2.

Determine the next term to -16.

$-16\cdot(-2)=32$

Determine the next term to 32.

$32\cdot(-2)=-64$

Determine the next term to -64.

$-64\cdot(-2)=128$

So next three terms of the sequance is 32,-64,128.