Question: Let T(n) = 1 2 + 2 2 + + n 2 , where n is a positive integer. It can be shown that

Let T(n) = 12 + 22 + ∙∙∙ + n2, where n is a positive integer. It can be shown that T(n) = n(n + 1)(2n + 1)/6.

a. Make a table of T(n), for n = 1, 2, ... , 10.

b. How would you describe the domain of this function?

c. What is the least value of n for which T(n) > 1000?

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