An arithmetic sequence is defined by the recursive formula t1 = 11, tn = tn – 1 – 13, where n ∈N and n > 1. Which of these is the general

Question

An arithmetic sequence is defined by the recursive formula t1 = 11, tn = tn – 1 – 13, where n ∈N and n > 1. Which of these is the general term of the sequence?

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    0
    2021-09-04T13:07:56+00:00

    coolio

    t_1=11

    t_n=t_{n-1}-13

    so each term is ound by subtracting 13 from the previous term

    an aritmetic sequence can be written as

    t_n=t_1+d(n-1) were

    t_n is the nth term

    t_1 is the first term

    d is common difference, which can also be found by doing t_n-t_{n-1}=d

    n=wich term

    we know that t_1=11 and we can find d

    t_n=t_{n-1}-13, t_n-t_{n-1}=-13=d

    so te general term is t_n=11-13(n-1) which can also be expanded and written as t_n=-13n+24

    0
    2021-09-04T13:08:12+00:00

    Answer:

    Tn= 11 – 13(n-1), where n ∈N and n ≥ 1

    Step-by-step explanation:

    I took the test, that’s the right answer

    hope this helps

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