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

Mathematics

2 answers:

Rus_ich [418]3 years ago

7 0

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.

WARRIOR [948]3 years ago

6 0

Answer:

Step-by-step explanation:

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

so the answer is c 16

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