What kind of sequence is this? -514, -514, -514, -514, ... arithmetic. geometric. both. neither.

asked Mar 2, 2023 170k views

4 votes

What kind of sequence is this?

-514, -514, -514, -514, ...
arithmetic. geometric. both. neither.

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3 votes

$\: u_(1) - u_(0)= u_(2) - u_(1) \\ - 514 + 514 = - 514 + 514 \\ 0 = 0 \\ true \: so \: u_(n) \: arithmetic \: \: (d = 0)$

$(u_(1))/(u_(0)) = (u_(2))/(u_(1)) \\ ( - 514)/( - 514) = ( - 514)/( - 514) \\ 1 = 1 \\ true \: so \: u_(n) \: geometric \: (r =1 )$

$conclusion = \\ u_(n) \: is \: both \: arithmetic \: and \: geometric$

Vvo answered Mar 8, 2023

by Vvo

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