The first five terms of a sequence are 7 10 13 16. 19

witch of the following functions define this sequence for all integers n> = 1?

OPTION B: f(n) = 4 +3n

Step-by-step explanation:

Substitute n =1 in each of the options. We compare the given sequence and the result obtained.

OPTION A: f(n) = 4(3)

Substituting n =1, we get: f(1) = = 4.

But, in the given sequence the first term is 7. So, this is not the recursive form.

OPTION B: f(n) = 4 + 3n

Substituting n = 1 2, 3, 4, 5

f(1) = 4 + 3(1)   = 7

f(2) = 4 + 3(2) = 10

f(3) = 4 + 3(3) = 13

f(4) = 4 + 3(4) = 16

f(5) = 4 + 3(5) = 19

This is exactly the sequence given.

So, we say OPTION B is the answer.

OPTION C: f(n) = 3n + 7

Substituting n = 1.

f(1) = 3(1) + 7 = 10

It is discarded.

OPTION D: f(n) =

Substituting n = 1.

f(1) = = 7

Substituting n = 2

f(2) =

This option can be discarded as well.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.