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math

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a student plants a seed, after the speed sprouts the student monitors the growth of the plant by measuring its height every week, the height after each of the first tree wees was 7mm , 20mm, and 33mm, respectively, if this pattern of growth continuesinwhat week will the plant be more than 100mm tall

  • math -

    looks like d = 13

    what term = 100?
    7 + 13(n-1) = 100
    13n - 13 = 93
    13n = 106
    n = 106/13 = 8.1

    in 8 weeks the tree will be slightly short of the 100
    ( term(8) = a+7d = 7 + 91 = 98 )

    So it will be more than 100 mm tall in the 9th week

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