Question 1 1 pts Given the sequence: 25, 21, 17, 13,… Write the explicit equation that models the sequence.

Question

Question 1
1 pts
Given the sequence:
25, 21, 17, 13,…
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
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Hưng Khoa 4 months 2021-09-04T17:09:53+00:00 1 Answers 242 views 0

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    0
    2021-09-04T17:11:42+00:00

    Answer:

    The correct answer is: Option B: a_n = 25+(-4)(n-1)

    Step-by-step explanation:

    Given sequence is:

    25, 21, 17, 13,…

    Here

    a1 = 25

    a2 = 21

    a3 = 17

    First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

    So,

    d = a_2 - a_1 = 21-25 = -4\\d  =a_3-a_2 = 17-21 = -4

    The explicit formula is given by:

    a_n = a_1 + (n-1)d

    Putting the value of a1 and d

    a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n

    Hence,

    The correct answer is: Option B: a_n = 25+(-4)(n-1)

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