Question

knowledge check
question 4
below is the table of values of a function. write the output when the input is n.
input 2 6 9 n
output 7 11 14

Explanation:

Step1: Find the pattern between input and output

For input \( 2 \), output is \( 7 \). Let's check the relationship: \( 2 + 5 = 7 \)? Wait, \( 2\times1 + 5 = 7 \)? No, let's check the difference between input and output. \( 7 - 2 = 5 \), \( 11 - 6 = 5 \), \( 14 - 9 = 5 \). Wait, no, \( 7 - 2 = 5 \), \( 11 - 6 = 5 \)? Wait \( 6 + 5 = 11 \), \( 9 + 5 = 14 \)? Wait \( 2 + 5 = 7 \), yes! So the output is input plus 5? Wait \( 2 + 5 = 7 \), \( 6 + 5 = 11 \), \( 9 + 5 = 14 \). Yes, that's the pattern. So the function is output = input + 5.

Step2: Apply the pattern to input \( n \)

If the input is \( n \), then the output should be \( n + 5 \).

Answer:

\( n + 5 \)