Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,


now, we can find slope

now, we can plug values


now, we can use point slope form of line

now, we can plug values

now, we can solve for y

we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y


So, initial value is 25
Answer:
S = 8
Step-by-step explanation:
An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.
However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

We can also write in summation notation rather S-term as:

Keep in mind that these only work for when |r| < 1 or else it will diverge.
Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

Therefore, the sum will converge to 8.
Please let me know if you have any questions!
Okay so this is your equation; 17=221/x
all you need to do is multiply 221 by 17 and you'll have your answer. I hope this helps!
25 is the length of x, using the 30-60-90 special triangle method
Answer:
8
Step-by-step explanation: