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21 October, 12:23

Over the summer maggie plans to read one book the first week and double the number of books each week for the next 5 weeks. how many books will Maggie read in the 6th week. How do you complete this problem and show you work?

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Answers (2)
  1. 21 October, 12:40
    0
    This is a geometric sequence of the form:

    a (n) = ar^ (n-1), a=initial term, r=common ratio, n=term number

    The number of books doubles each week so the common ratio is 2 and the first term a is 1 so

    a (n) = 1*2^ (n-1)

    a (n) = 2^ (n-1) so in the sixth week

    a (6) = 2^5=32

    So she will read 32 books in the sixth week.
  2. 21 October, 13:33
    0
    32 because ypu double the amount of books
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