The sequence is 2,-4,8,-16,....
Determine the common ratio of terms for the sequence.
[tex]\begin{gathered} r=-\frac{4}{2} \\ =-2 \end{gathered}[/tex]
So every next term in the sequance is obtained by multiplication of -2.
Determine the next term to -16.
[tex]-16\cdot(-2)=32[/tex]
Determine the next term to 32.
[tex]32\cdot(-2)=-64[/tex]
Determine the next term to -64.
[tex]-64\cdot(-2)=128[/tex]
So next three terms of the sequance is 32,-64,128.
[tex]32,-64,128[/tex]
