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13 February, 02:11

What is the common difference for the arithmetic sequence: 8.6, 6.2, 3.8, 1.4, - 1, - 3.4, ...

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Answers (2)
  1. 13 February, 03:04
    0
    So the common difference is - 2.4

    Step-by-step explanation:

    In an arithmetic sequence the common difference is the difference between any two consecutive terms

    also formula for common difference is d = a (n) - a (n-1)

    which means that if we have an arithmetic sequence i. e. a1, a2, a3 and a4

    then their common difference will be

    common difference = a₂-a₁ = a₃-a₂ = a₄ - a₃

    Now for the given sequence

    Common difference = 6.2 - 8.6

    = - 2.4

    Check:

    8.6 - 2.4 = 6.2

    6.2 - 2.4 = 3.8

    3.8 - 2.4 = 1.4

    .

    .

    So the common difference is - 2.4
  2. 13 February, 05:34
    0
    Step-by-step explanation:

    If you start with t1 = 8.6

    and t2 = 6.4

    Then tn - tn-1 = 6.4 - 8.6 = - 2.4

    In other words if you start at tn-1 and go to the next term tn you have to subtract 2.4 from the term to get to the next term.

    t1 = 8.6

    t2 = 6.2

    t2 = 8.6 - 2.4 = 6.2

    The difference is - 2.4

    In general tn+1 = tn - 2.4
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