The first 3 terms of a sequence are given. Round to the nearest thousandth (if necessary) 460,451,442 find the 49th term

Question

The first 3 terms of a sequence are given. Round to the nearest thousandth (if necessary) 460,451,442 find the 49th term

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niczorrrr 5 months 2021-08-09T16:37:23+00:00 1 Answers 17 views 0

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    2021-08-09T16:38:36+00:00

    Answer:

    The  49th term of the given sequence

    t₄₉ = 28

    Step-by-step explanation:

    Step(i):

    Given sequence  460, 451,442,….

    first term  a = 460

    The difference of two terms of given sequence

     d = 451 -460 = -9

     d   = 442 -451 = -9

    and so on

    The given sequence is in arthematic progression(A.P)

    Step(ii):-

    The n^{th} of the given sequence

    t_{n} = a + ( n-1 ) d

    n = 49 , a = 460 and d = -9

    The  49th term

    t_{49} = 460 + ( 49-1 ) (-9)

    t_{49} = 460 + ( 49-1 ) (-9) = 460 -432 = 28

    Final answer:-

    The  49th term of the given sequence

    t₄₉ = 28

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