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4 April, 00:49

Write an explicit formula for the sequence - 3, 1, 5, 9 ...

a. an = - 3 + 4 (n-1)

b. an = - 3 + 4n

c. an = - 3 + (n-1)

d. an = - 3 + 4 (n+1)

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  1. 4 April, 01:07
    0
    A. an = - 3 + 4 (n - 1)

    Step-by-step explanation:

    The sequence given follows an arithmetic progression. This means the following term can be gotten by simply adding a factor to the previous term (or even the first term).

    They are represented by the equation:

    y (n) = a + r (n - 1)

    Where y (n) is the nth term

    a = first term

    r = factor

    Let us compare this with the sequence given:

    The first term, a, is - 3

    We can get the factor, r, by using the second term, which is 1. This means n = 2.

    => 1 = - 3 + r (2 - 1)

    1 = - 3 + r

    => r = 1 + 3 = 4

    Therefore, putting a = - 3 and r = 4, the sequence can be written as:

    y (n) = - 3 + 4 (n - 1)
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