Question

Please help! It's due by Tuesday, so pleaseeeeeee help!!! Answer all questions!
1. What’s the common ratio of the geometric sequence2,0.5,0.125,1/32? Write this geometric sequence as an explicit formula.
2. Vertically dilate the linear function z(x) = 4x−1by a factor of three. What’s the equation of the vertically dilated function?
3. Consider the linear functionsy(x) = 2x+ 8andg(x) =−2x+ 4. What are theiry-intercepts? Write these functions in factored form. What are theirx-intercepts?

Answer 1

Answer:

1) The common ratio of a geometric sequence, denoted by

r

, is obtained by dividing a term by its preceding term

considering the below geometric sequence:

4

,

20

,

100

...

we can calculate

r

as follows:

1)

20

4

=

5

2)

100

20

=

5

so for the above mentioned geometric sequence the common ratio

r

=

5