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Find a Formula for the Sum ∑k=1nk3+12\sum _ { k = 1 } ^ { n } \frac { k ^ { 3 } + 1 } { 2 }

Question 64

Essay

Find a formula for the sum ∑k=1nk3+12\sum _ { k = 1 } ^ { n } \frac { k ^ { 3 } + 1 } { 2 } and then use it to calculate the sum for n = 100, n = 500, and n = 1000.

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