Question

Which function represents the sequence?

11

Question 11 options:

f(n)=n+3

f(n)=7n−4

f(n)=3n+7

f(n)=n+7

Answer 1

Answer: SECOND OPTION

Explanation:

Substitute any value of n shown in the table attached into each function given in the options, and observe if you obtain the value of
`a_n` shown in the table.

Let's substitute n=1 (According to the table, you need to obtain
`a_n=3`):

For the first option:

`f(1)=1+3=4`

For the second option:

`f(1)=7(1)-4=3` THIS IS THE FUNCTION

For the third option:

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

For the fourth option:

`f(1)=1+7=8`

Therefore, the answer is the second option.

Answer 2

`f(n) = 7n - 4`

EXPLANATION

The terms of the sequence are;

`3,10,17,24,31,...`

This implies that,

`a_1=3`

The constant difference is

`d = 10 - 3 = 7`

The nth term of the sequence is;

`a_n=a_1+d(n-1)`

`a_n=3+7(n-1)`

`a_n=3+7n - 7`

`a_n=7n-4`

Or

`f(n) = 7n - 4`

The correct choice is B.