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math sequences and series

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how do i solve if t1=1/2 and tn=tn-1+1/n(n+1), determine an explicit formula for the general term. (hint: it is neither arithmetic nor geometric. write out the first few terms)

  • math sequences and series -

    1) 1/2

    2) 1/2 + 1/(2*3) = 1/2 + 1/6 = 2/3

    3) 2/3 + 1/(3*4) = 2/3 + 1/12 = 3/4

    4) 3/4 + 1/(4*5) = 15/20 + 1/20 = 4/5

    LOL - See a pattern?

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