Day 1 - 0.01 Day 2 - $0.02 Day 3- $0.04 Day 4- $0.08 Day 5- $0.16 Day 6- $0.32 Day 7- $0.64 Day 8- $1.28 Day 9- $2.56 Day 10- $5.12 Day 11- $10.24 Day 12- $20.48 Day 13- $40.96 Day 14- $81.92 Day 15- $163.84 Day 16- $327.68 Day 17- $655.36 Day 18- $1310.72 Day 19- $2671.44 Day 20- $5242.88 Day 21- $10485.76 Day 22- $20971.52 Day 23- $41943.04 Day 24- $83886.08 Day 25- $167772.16 Day 26- $3690987.52 Day 27- $7381975.04 Day 28- $14763950.08 Day 29- $29527900.16 Day 30- $59055800.32 what is all of this added up together total
Do you see the pattern? Each day, the amount of money is doubled. This is a geometric sequence.
The formula for calculating the nth term in a geometric sequence is: xn = ar(n-1)
But since we are finding the sum, we must use this formula:
Do you see the pattern? Each day, the amount of money is doubled. This is a geometric sequence.
The formula for calculating the nth term in a geometric sequence is: xn = ar(n-1)
But since we are finding the sum, we must use this formula: