Answer:
Step-by-step explanation:
The sum of an infinite geometric series is expressed according to the formula;
where;
a is the first term of the series
r is the common ratio
If the sum of an infinite geometric series is three times the first term, this is expressed as
Substitute into the formula above to get the common ratio r;
open the parenthesis
subtract 3 from both sides
<em>Hence the common ratio of this series is </em><em></em>
Answer:
The signup fee is $17
Step-by-step explanation:
we know that
The equation in point slope form is equal to
where
m is the slope or unit rate of the linear equation
(x1,y1) is a ordered pair of the line
Let
x -----> the number of months
y -----> the total cost of a gym membership
In this problem we have
The slope of unit rate is equal to
The ordered pair is
substitute
----> equation in point slope form
Convert to slope intercept form
---> equation in slope intercept form
The y-intercept is the signup fee (value of y when the value of x is equal to zero)
therefore
The signup fee is $17