State the common difference d for the given A.P 3/2,1/2,-1/2-3/2-​

Question

State the common difference d for the given A.P 3/2,1/2,-1/2-3/2….​

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Caroline 4 weeks 2021-08-14T08:45:34+00:00 1 Answer 0 views 0

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    2021-08-14T08:47:10+00:00

    To find:

    • Common difference of A.P.

    Solution:

    Our A.P is

     \sf  \dfrac{3}{2} , \dfrac{1}{2} , \dfrac{ - 1}{2} , \dfrac{ - 3}{2} …..

    We know,

    Common difference = a₂ – a₁

    a₁ = 3/2

    a₂ = 1/2

    So,

    Common difference = 1/2 – 3/2

    = -2/2

    = -1

    Verification:

    We know that,

    General form of A.P is

    a , a + d, a + 2d , a+ 3d…….

    a = 3/2

    a + d = 3/2 + (-1) = 1/2

    a + 2d = 3/2 + 2×(1) = 1/2

    a + 3d = 3/2 + 3 × (1) = 3/2

    Therefore,

    Common difference = -1

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