Question

Write the sum using summation notation, assuming the suggested pattern continues. 8 + 27 + 64 + 125 + ... + n3

Answer 1

∑(i+1)³,i=1→n-1

Explanation:

8=2³=(1+1)³

27=3³=(2+1)³

64=4³=(3+1)³

125=5³=(4+1)³

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n³=(n-1+1)³

∑ (i+1)³,i=1→n-1