Write a formula for the sequence of cube numbers: 1, 8, 27, 64, ….
1 answer:
Answer: , where n = 1,2,3,4,.....
Step-by-step explanation:
The given sequence : 1, 8, 27, 64, ….
We observe that the terms are perfect cubes of consecutive integers (starting from 1) .
Terms can be written as:
First term =
Second term=
Third term =
Fourth term =
Thus , for any nth term ,the formula for the sequence is : , where n = 1,2,3,4,.....
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It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function. Tables and software are available for that purpose.
Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.
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