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Find a Formula for the Sum $\sum _ { k = 2 } ^ { n } ( 2 + k ) ^ { 2 }$

Question 83

Essay

Find a formula for the sum $\sum _ { k = 2 } ^ { n } ( 2 + k ) ^ { 2 }$ and then use it to calculate the sum for n = 100, n = 500, and n = 1000.

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