The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence? X Y 1

Question

The values in the table represent a linear function. What is the common difference of the associated arithmetic sequence?
X Y
1 4
2 21
3 38
4 55
5 72
Choices
A. 17
B. 1
C. 19
D. 3

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Isabella 1 week 2021-11-23T13:10:19+00:00 2 Answers 0

Answers ( )

    0
    2021-11-23T13:11:38+00:00

    Answer:

    The common difference of the associated arithmetic sequence is:

              Option: A

                      17

    Step-by-step explanation:

    We know that the sequence is said to be arithmetic if each of the sequence is differ by the preceding term by a fix constant which is known as a common difference.

    i.e. d is called a common difference of the sequence if a_n\ and\ a_{n+1}

    are the nth and (n+1)th term of the sequence then,

    a_{n+1}-a_n=d

    Here we have a  table of values as:

    X     Y              d

    1      4        

    2    21        21-4=17

    3    38       38-21=17  

    4    55        55-38=17

    5    72        72-55=17

    Hence, we get that the common difference is: 17

    0
    2021-11-23T13:12:03+00:00

    A bc the Y numbers increase by 17 every time X increases by 1

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