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Find the general term:
4/3, 7/7, 10/11, 13/15,...

  • math -

    note that the next term has a numerator 3 greater than the previous and has denominator 4 greater than the previous. thus, if 4/3 is the first term,
    (4 + 3(n-1))/(3 + 4(n-1))
    where n = nth term (if 1st, n=1, if 2nd, n=2, etc.)
    or simplifying,
    (3n + 1)/(4n - 1)


    hope this helps~ :)

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