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Math Help - Certain Question

  1. #1
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    Certain Question

    I made it into a Picture file, please help:

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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by KatanaMaster95 View Post
    I made it into a Picture file, please help:

    Plug and chug, as they say...

    (a) S = \frac{n(n+1)}{2}

    S(1) = \frac{1\cdot(1+1)}{2} = 1.

    S(2) = \frac{2\cdot(2+1)}{2} = 1 + 2 = 3.

    You try some.

    (b) C = \frac{n^2 (n+1)^2}{4}

    C(1) = \frac{1^2 \cdot(1+1)^2}{4} = 1^3 = 1.

    C(2) = \frac{2^2\cdot(2+1)^2}{4} = 1^3 + 2^3 = 9.

    (c) Clearly,

    S^2 = (\frac{n(n+1)}{2})^2 = \frac{n^2(n+1)^2}{2^2} = C.

    So, S^2 = C.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Anonymous1 View Post
    Complete detailed solution to routine question deleted
    Do you get extra credit for this from the OP's school?

    CB
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  4. #4
    Super Member Anonymous1's Avatar
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    I'm sorry, did I do something wrong here? I may have passed over this one in the MHF list of rules.
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