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

Step-by-step 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

ANSWER

$f(n) = 7n - 4$

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.