Question

The values in the table represent a linear function. what is the common difference of the associated arithmetic sequence?

x: 1, 2, ,3 ,4 ,5
y: 6, 22, 38, 54, 70.

A) 1
B) 20
C) 16
D) 5

Answer 1

c

Explanation:

You can find that 22-6=38-22=54-38=70-54=16

so the answer is c 16

Answer 2

Answer: The correct opion is

(C) 16.

Step-by-step explanation: Given that the values in the following table represent a linear function.

x: 1, 2, 3, 4, 5

y: 6, 22, 38, 54, 70.

We are to find the common difference of the associated arithmetic sequence.

If y = f(x) is the given function, then we see that

f(1) = 6, f(2) = 22, f(3) = 38, f(4) = 54 and f(5) = 70.

So, the common difference of the associated arithmetic sequence is given by

`f(2)-f(1)=22-6=16,\\\\f(3)-f(2)=38-22=16,\\\\f(4)-f(3)=54-38=16,\\\\f(5)-f(4)=70-54=16,~~~\cdots.`

Thus, the required common difference of the associated arithmetic sequence is 16.

Option (C) is CORRECT.