Answer:

Step-by-step explanation:
Given data
It costs $35 for a membership
Monthly fee is $15
Let the number of months be x
and the total cost for x months be y
Hence the expression for the cost after x months is given as:

First term t(1)=(x-y)
common ratio =(x+y) (don't omit the parentheses)
then the nth term:
t(n)=(x-y)(x+y)^(n-1)
check:
t(1)=(x-y)(x+y)^(1-1)=(x-y)(x+y)^0=(x-y)(1)=(x-y)
t(3)=(x-y)(x+y)^(3-1)=(x-y)(x+y)^2
When n is small, t(n) can also be found by repeated multiplication of the common ratio (x+y)
Its a rational number because whole numbers dont consist of decimals nor fractions