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jesusfreak Group Title

Expand the series and evaluate: ∑ {5(on top), k=1(on bottom), k^3 on the right side}

  • 2 years ago
  • 2 years ago

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  1. jesusfreak Group Title
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    \[\sum_{k=1}^{5} k^3\]

    • 2 years ago
  2. amistre64 Group Title
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    i think its just the square of k^1

    • 2 years ago
  3. amistre64 Group Title
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    \[\sum k=\frac{n(n+1)}{2}\] \[\sum k^3=\left(\frac{n(n+1)}{2}\right)^2\] rings a bell to me

    • 2 years ago
  4. across Group Title
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    It's always a good idea to list out the elements of series this small:\[1^3+2^3+3^3+4^3+5^3.\]

    • 2 years ago
  5. across Group Title
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    Just to get a feel for it, you feel me!? ^^

    • 2 years ago
  6. jesusfreak Group Title
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    Yeah, thanks. So would it be 1, 8, 27, 64, 125?

    • 2 years ago
  7. across Group Title
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    Don't forget that it's a summation! :P

    • 2 years ago
  8. jesusfreak Group Title
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    What do you mean?

    • 2 years ago
  9. TuringTest Group Title
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    you have to add them...

    • 2 years ago
  10. FoolForMath Group Title
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    Deriving this proof is a good excercise, there are many ways actually, but I like way of differentiating and then substituting .. probably that's how euler did it!

    • 2 years ago
  11. amistre64 Group Title
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    euler plagarized the chinese :P

    • 2 years ago
  12. FoolForMath Group Title
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    ^^ lol, how do you know ? :P

    • 2 years ago
  13. amistre64 Group Title
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    past life regression :)

    • 2 years ago
  14. amistre64 Group Title
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    if we take the derivative of this life ....

    • 2 years ago
  15. FoolForMath Group Title
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    You were there when Euler did it? ... omG! :D

    • 2 years ago
  16. amistre64 Group Title
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    yep, just call me JC Superstar yay!!

    • 2 years ago
  17. FoolForMath Group Title
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    lol :D

    • 2 years ago
  18. jesusfreak Group Title
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    Okay, I hope you two know that that wasn't very helpful. I am just wondering how to solve this. Across, what do you mean by a summation?

    • 2 years ago
  19. TuringTest Group Title
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    ADD them up! that is what summation means

    • 2 years ago
  20. TuringTest Group Title
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    I said it above but nobody cared...

    • 2 years ago
  21. TuringTest Group Title
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    \[1^3+2^3+3^3+4^3+5^3=?\]

    • 2 years ago
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