SOLUTION: Which pays more over the course of 10 days - $100 per day for the 10 days or one dollar the first day, $2.00 the second, $4.00 the third, $8.00 the fourth, etc., up to and includin

Algebra ->  Sequences-and-series -> SOLUTION: Which pays more over the course of 10 days - $100 per day for the 10 days or one dollar the first day, $2.00 the second, $4.00 the third, $8.00 the fourth, etc., up to and includin      Log On


   



Question 550990: Which pays more over the course of 10 days - $100 per day for the 10 days or one dollar the first day, $2.00 the second, $4.00 the third, $8.00 the fourth, etc., up to and including the 10th day?
Please help me solve this problem from my text book and show steps please. Thanks!

Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
$100 per day for 10 days will just be $100*10=$1000
The next one is a bit harder. To write its equation we would have to do summation notation (the sum of 1*2^(n-1) as n goes from 1 to 10), but to do it simply, we can just figure out the 10 days and sum them
We are doubling each day.
so we have 1+2+4+8+16+32+64+128+256+512=1023
So doubling pays more