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TiliK225 [7]
3 years ago
12

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:

c

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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