Let T(n) = 1 2 + 2 2 + + n 2 , where n is
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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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a n 1 2 3 4 5 6 7 8 9 10 Tn 1 5 14 30 55 91 140 204 285 385 b The domai...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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