SOLUTION: the sequence 6, 24, 54, 96,... comes from the surface area of cubes. they want me to find the next number in the sequence but I don't know how. I do know the formula for the surf

Algebra ->  Sequences-and-series -> SOLUTION: the sequence 6, 24, 54, 96,... comes from the surface area of cubes. they want me to find the next number in the sequence but I don't know how. I do know the formula for the surf      Log On


   

Question 782554: the sequence 6, 24, 54, 96,... comes from the surface area of cubes.
they want me to find the next number in the sequence but I don't know how.
I do know the formula for the surface area of a cube but I don't know what to plug in to get those numbers.
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
6, 24, 54, 96
surface area of cube = 6 *l^2 where l is the side of cube
6*1^2=6
6*2^2=24
6*3^2=54
6*4^2=96
6*5^2=150
6*6^2=216

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the sequence 6, 24, 54, 96,... comes from the surface area of cubes.
they want me to find the next number in the sequence but I don't know how.
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If edge = 1unit, face = 1 unit^2, surface area = 6*1 = 6units^2
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If edge = 2 unit, face = 4 unit^2, surface area = 6*4 = 24 units^2
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If edge = 3 then face = 9 and surface area = 6*9 = 54 units^2
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If edge = 4 then face = 16 and sa = 6*16 = 96 units^2
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If edge = 5 then face = 25 a sa = 6*25 = 150 units^2
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Cheers,
Stan H.