What is the closed linear form for this sequence given a1 = -15 and an + 1 = an – 8?

Question

What is the closed linear form for this sequence given a1 = -15 and an + 1 = an – 8?

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Mackenzie 1 month 2021-10-19T18:11:32+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-19T18:13:03+00:00

    Answer:

    c) an=-7+8n

    Step-by-step explanation:

    i got it wrong and it told me the right answer so ill make sure you guys don’t get it wrong :3

    0
    2021-10-19T18:13:26+00:00

    Answer:

    a_n=-8n-7 is the closed linear form of the given sequence.

    Step-by-step explanation:

    Given that a_1=-15 and a_{n+1}=a_n-8

    To find the closed linear form for this given sequence :

    So each of the successive term of the given sequence is decreases by 8

    Therefore the common difference is -8

    The given sequence is a arithmetic sequence.

    The general form is a_n=a_1+(n-1)d

    Substitute a_1=-15 and d=-8 in a_n=a_1+(n-1)d we get

    a_n=-15+(n-1)(-8)

    =-15-8n+8

    a_n=-8n-7

    Therefore a_n=-8n-7 is the closed linear form of the given sequence.

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45:7+7-4:2-5:5*4+35:2 =? ( )