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Math

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Determine the 10th term of the sequence 3, 10, 28, 72, 176... State the general term.

  • Math -

    3 = 1x3
    10 = 2x5
    28 = 4x7
    72 = 8x9
    176 = 16x11

    looks like the first factor is a power of 2 and the second factor is the set of odd consecutive integers

    t(n) = 2^(n-1) * (2n+1)
    check: t(5) = 2^4 * ( 11) = 176

    so
    t(10) = 2^9 * 21 = 10752

  • Math -

    Thanks!

  • Math -

    welcome

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