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6 October, 23:59

Find the four arthmetic means between - 3 and 46

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Answers (2)
  1. 7 October, 01:06
    0
    The arithmetic means are

    6.8, 16.6, 26.4 and 36.2

    Step-by-step explanation:

    Let the four terms be w, x, y and z.

    In an arithmetic sequence, each consecutive term differs by a common difference, d.

    First term = - 3

    Second term, w = a + d = - 3 + d

    Third term, x = a + 2d = - 3 + 2d

    Fourth term, y = a + 3d = - 3 + 3d

    Fourth term = a + 4d = - 3 + 4d

    Last term = a + 5d = - 3 + 5d

    Since the last term is 46, it means that

    - 3 + 5d = 46

    5d = 46 + 3 = 49

    d = 49/5 = 9.8

    Therefore,

    w = - 3 + 9.8 = 6.8

    x = - 3 + 2 * 9.8 = - 3 + 19.6 = 16.6

    y = - 3 + 3 * 9.8 = - 3 + 29.4 = 26.4

    z = - 3 + 4 * 9.8 = - 3 + 39.2 = 36.2
  2. 7 October, 01:11
    0
    6.8, 16.6, 26.4, 36.2

    Step-by-step explanation:

    Let's write the sequence, d is the common difference:

    - 3, - 3 + d, - 3 + 2d, - 3 + 3d, - 3 + 4d, 46

    Therefore 46 = - 3 + 5d

    5d = 49

    d = 49/5 = 9.8

    So the first arithmetic mean is - 3 + 9.8 = 6.8. and the second is - 3 + 2 (9.8) = 16.6 ...

    They are:

    6.8, 16.6, 26.4, 36.2.
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