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  1. #1
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    arithmetic problem

    On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?

    (A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day
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  2. #2
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    arithmetic

    Quote Originally Posted by sri340 View Post
    On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?

    (A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day
    Hello sri340,

    The payment series 1,2,4,8 etc
    the sum of n terms must be greater than 100

    Sum= ar^n-a/r-1 a=1 r=2 2^n-1 must be greater than 100 or 2^n must be greater than 101 , 7days required 127 dollars received. Need help to finish out the equation calculation?


    bjh
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  3. #3
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    Quote Originally Posted by bjhopper View Post
    Hello sri340,

    The payment series 1,2,4,8 etc
    the sum of n terms must be greater than 100

    Sum= ar^n-a/r-1 a=1 r=2 2^n-1 must be greater than 100 or 2^n must be greater than 101 , 7days required 127 dollars received. Need help to finish out the equation calculation?


    bjh
    The answer should be the 8th day. The question asked "on which day will she receive an amount greater than one hundred dollars'.

    On the 7th day, she receives 64 dollars.

    On the 8th day, she receives 128 dollars.
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  4. #4
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    arithmetric problem

    Quote Originally Posted by masters View Post
    The answer should be the 8th day. The question asked "on which day will she receive an amount greater than one hundred dollars'.

    On the 7th day, she receives 64 dollars.

    On the 8th day, she receives 128 dollars.

    Hello Masters,

    Thanks for correcting my answer.I should have been using ar^n-1 greater than 100

    bjh
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