9.1.3 Quiz: Geometric Sequences
Question 6 of 10
2 Points
What is the sum of the first five terms of a geometric series with an = 6 and
r=1/3?
Express your answer as an improper fraction in lowest terms without using
spaces.
Answer here

Your geometric series starts with 6, and then you get the next term by multiplying the previous one by 1/3. So, the first five terms are

And if we sum them we have

szdxfcgvhbjn

step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3