A quadratic sequence is a series of terms that respect the
following:
1^2, 2^2, 3^2, 4^2, ......, n^2,
....
We'll consider n terms of the quadratic sequence and
we'll calculate their sum:
1^2 + 2^2 + 3^2 + ... + n^2 = S
(1)
We know that the formula for the squares of the first
terms of the sum is:
S =
n(n+1)(2n+1)/6
Now, we can have any number of terms of the
quadratic series, we'll also be able to determine their sum.
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