NikolausE176172 NikolausE176172

03-11-2022
Mathematics

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Determine whether the following sequence is geometric. If so, find the common ratio. 1, -4, 16, -64, . . .

Determine whether the following sequence is geometric If so find the common ratio 1 4 16 64 class=

Respuesta :

AriahP550583 AriahP550583

03-11-2022

Given:

Geometric sequence is:

1,-4,16,-64

Sol:

For geometric sequence is:

[tex]a_n=a_1r^{n-1}[/tex][tex]\begin{gathered} a_1=1 \\ a_2=-4 \end{gathered}[/tex][tex]\begin{gathered} a_n=a_1r^{n-1} \\ -4=1r^{2-1} \\ -4=r \end{gathered}[/tex]

Common ratio is -4.

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