Answer:
T represents the amount of time it will take him to travel 200 meters if he swims at 45 meters per minute.
Step-by-step explanation:
The nth term is (presuming the denominator on the first is a typo)

The ratio of successive terms is

The limit is -1/3, absolute value less than 1, so the series converges. It has a sum -- that's what converges means.
Answer:
A. -1.8
Step-by-step explanation:
If x is the independent variable and y is the dependent variable, therefore constant of proportionality would be:
k = y/x
Using any pair of values from the table, we can find k. Let's use (3, -5.4):
k = y/x = -5.4/3
k = -1.8
The formula for an infinite geometric sequence is the following:

Just substitute the values of

and r into the formula.



Therefore, the answer is 20.
When given a literal equation, you will often be asked to solve the equation for a given variable. The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, and you may not be able to simplify as much as you can with linear equations.
2: x = -5/3 ; y = -4/3 (-5/3, -4/3)