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

Let S(n) = 1 + 2 + ∙∙∙ + n, where n is a positive integer. It can be shown that S(n) = n(n + 1)/2.

a. Make a table of S(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 S(n) > 1000?

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