The second term in a sequence is 13. The term to term rule is “add 6” Write an expression, in terms of n, for the nth term of th

Question

The second term in a sequence is 13. The term to term rule is “add 6”

Write an expression, in terms of n, for the nth term of the sequence.

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Vodka 3 years 2021-08-30T13:41:24+00:00 2 Answers 17 views 0

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    0
    2021-08-30T13:42:34+00:00

    Answer:

    a_{n} = 6n + 1

    Step-by-step explanation:

    This is an arithmetic sequence with nth term

    a_{n} = a₁ + (n – 1)d

    where a₁ is the first term and d the common difference

    Here a₁ = 13 – 6 = 7 and d = 6 , then

    a_{n} = 7 + 6(n – 1) = 7 + 6n – 6 = 6n + 1

    0
    2021-08-30T13:43:02+00:00

    Answer:

    the first few terms would be

    7, 13, 19, 25, 31

    nth term = 7 + 6(n+1)

    nth term = 7+ 6n + 6

    nth term = 6n + 13

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