+56 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.
+37146 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)
