2, 6, 18,

find the common ratio of the given sequence, and write an exponential function which represents the sequence. use n = 1, 2, 3,
a) 3; f(n) = 2(3)n-1
b)
1
3
; f(x) = 2(3)n-1
c) 3; f(n) = 2(
1
3
)n-1
d)
1
3
; f(n) = 2(
1
3
)n-1

3;

Step-by-step explanation:

The given sequence is

2, 6, 18, 54,....

The first term is

The common ratio is obtained expressing a subsequent term over a previous term.

The common ratio is

The the nth term of the sequence is given by:

The exponential function which represents the sequence is

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33