SOLUTION: How many cubes are in the 100th collection in this sequence? the first is just a single cube in the sequence the second is 8 cubes total. 2*2*2 the third is 27 cubes total. 3*

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Question 402173: How many cubes are in the 100th collection in this sequence?
the first is just a single cube in the sequence
the second is 8 cubes total. 2*2*2
the third is 27 cubes total. 3*3*3
I can't figure out the pattern or equation i can use to find the 100th collection in the sequence

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

you have a sequence for cubic numbers:
{1, 8, 27, 64, 125, 216,343, 512, 729, 1000}...10 terms collection, 10 cubes
as you can see, these numbers could be written as:{1^3, 2^3, 3^3, 4^3, 5^3, 6^3, 7^3, 8^3, 9^3,10^3}

so, the pattern or equation is: tn+=+n%5E3
in the 100th collection in this sequence you will have 100 cubes