SOLUTION: Find the next three terms in this sequence: 6, -24, 96, -384,...

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Question 606845: Find the next three terms in this sequence: 6, -24, 96, -384,...
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Geometric Sequence {6, -24, 96, -384,...}

a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29

Note Change of Sign

a%5Bn%5D+=+6%2A%28-4%29%5E%28n-1%29

 a%5B5%5D+=+6%2A%28-4%29%5E4+=+highlight%281536%29+

 a%5B6%5D+=+6%2A%28-4%29%5E5=+highlight%28-6144%29+%29

 a%5B7%5D+=+6%2A%28-4%29%5E6=+highlight%2824576%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the next three terms in this sequence: 6, -24, 96, -384,...
------------------
1st: 6
2nd: 6*-4 = -24
3rd: 6*(-4)^2 = 96
4th: 6^(-4)^3 -384
5th: 6*(-4)^4
6th: 6*(-4)^5
7th: 6*(-4)^6
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Cheers,
Stan H.