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A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work.��Sn:   12 + 42 + 72 + . . . + (3n - 2)2 = n(6n^2-3n-1)/2

Also, please show me how to prove the statements are true.

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2 answers
  1. 12 + 42 + 72 + . . . + (3n - 2)2 = n(6n^2-3n-1)/2

    by induction:
    1. show it to be true for n = 1
    LS = 12\

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  2. not on my usual computer, and hit the wrong return key

    LS = 12
    RS = 1(6-3-1)/2
    = not = LS

    check your typing,
    I assume your general term is (3n-2)^2
    which produces the sequence:
    1 + 16 + 49 + ...
    which is not your series

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