Question
Sum of the cubes of the first $n$ natural numbers:$S_{n}=\frac{n^{2}(n+1)^{2}}{4}$Compute $1^{3}+2^{3}+3^{3}+\dots+8^{3}$ using the formula given. Then confirm the result by direct calculation.
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This means we calculate $1^{3}+2^{3}+3^{3}+\dots+8^{3}$. Show more…
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