What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?

a) 1
b) 2
c) 3
d) 4

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

= a

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

= = 9

r² = 9 ⇒ r = = 3 → C

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is