Question 1072844: what is the number sequence or pattern for 0, 1, 8, 27, 64 ....
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! The solution is
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a(n) = n^3 where a(n) is the nth term
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we determine this by using the difference approach
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0, 1, 8, 27, 64
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level one differences between terms is
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1, 7, 19, 37
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level 2 differences between level 1 differences is
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6, 12, 18
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level 3 differences between level 2 differences is
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6, 6
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the level 3 differences are the same so we know we have a n^3 term
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n^3 term gives us 0, 1, 8, 27, 64 so we are done
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Note that in some cases it may be necessary to add or subtract a constant as well as multiply the exponent term by a constant
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Answer by MathTherapy(10552)  (Show Source):
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