SOLUTION: Evaluate 1^2 + 1^3 + 2^2 + 2^3 + 3^2 + 3^3 + ... + 150^2 + 150^3 A. 128,384,358 B. 129,391,900 C. 135,391,800 D. 147,920,368

Algebra ->  Sequences-and-series -> SOLUTION: Evaluate 1^2 + 1^3 + 2^2 + 2^3 + 3^2 + 3^3 + ... + 150^2 + 150^3 A. 128,384,358 B. 129,391,900 C. 135,391,800 D. 147,920,368      Log On


   

Question 1198812: Evaluate 1^2 + 1^3 + 2^2 + 2^3 + 3^2 + 3^3 + ... + 150^2 + 150^3
A. 128,384,358
B. 129,391,900
C. 135,391,800
D. 147,920,368
Answer by math_tutor2020(3817) About Me  (Show Source):
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1^2+2^2+3^2+...+n^2 = n(n+1)(2n+1)/6
1^3+2^3+3^3+...+n^3 = (n(n+1)/2)^2