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Levi convinced his mother that he should have a weekly allowance that is doubled every two weeks. In weeks one and two, he would receive 1 cent per week, in weeks three and four, he would receive 2 cents per week. If his allowance continues to double every two weeks, determine the total amount he would recieve in allowance during the thirty weeks. 

 May 9, 2021
 #1
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Geometric series   with r =2

   and 15 terms

11 22 44 88 16 16    32 32    64 64   .......

  2   4   8   16   32  

            a1 = 2        a15 = 2 * 214 = 32768 cents

 

Sum = a1 ( r^15 -1)/(r-1) = 65636 cents total     (656.36  dollars)

 May 9, 2021

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