It takes 3 copies of 1/6 to show the same amount as 1 copy of 1/2 because 3 copies of 1/6 would add up to 3/6 thus making it 1/2
Larger negative numbers are less than, if you picture a number line.
<.......-83 ............-38........0........+38..........>
-83 < -38
The canyon is deeper or has a lower elevation than the scuba diving location.
You have steak Mac water or steak mac water, etc etc...
<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>
