Use the graph to write the explicit rule of the arithmetic sequence. A) 
ƒ(n) = 3 + 1(n – 1)

B) 
ƒ(n) = 7 + 3(n – 1)

C) 
ƒ(n) = 7 + (–2)(n – 1)

D) 
ƒ(n) = 2 + (–7)(n – 1)

Therefore, option C is true.

Step-by-step explanation:

From the graph, we get the sequence

7, 5, 3, 1, ...

Here,

a₁ = 7 is the first element.

An arithmetic sequence has a constant difference 'd' and is defined by  

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

substituting a₁ = 7 and d = -2 in the nth term of the sequence

Therefore, option C is true.

step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.