write the sequence of the first ten cubes of natural numbers
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Sequences and Series
Series of the cube numbers
There is a series to each sequence and this is the sequence of the partial sums.
For cube numbers this is the sequence sn= 1³+2³+3³+...+n³.
1³+2³+3³+...+n³=[n(n+1)/2]² is given.
The sequence of the cube numbers is also an arithmetic series of third order. A figure follows to explain this.
In every new row you find the difference of two numbers a row higher.
The feature is that you reach a constant difference 6 after three steps.
HOPE IT HELPS YOU
Step-by-step explanation:
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1^3=1
2^3=8
3^3=27
4^3=64
5^3=125
6^3=216
7^3=343
8^3=512
9^3=729
10^3=1000
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