The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is * Ο 5 Ο 6 Ο Ο Ο Ο Ο 3​

Question

The value of ‘k’ for which the numbers x, 2x + k, 3x + 6 are in A.P. is *
Ο 5
Ο 6
Ο Ο Ο Ο
Ο 3​

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Gianna 2 months 2021-10-10T13:20:47+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-10T13:22:26+00:00

    Answer:

    k = 3

    Step-by-step explanation:

    x , 2x + k , 3x + 6

    In an A.P. common difference d is always same.

    ==: 2x + k – x = 3x + 6 – (2x + k)

    ==: 2x + k – x = 3x + 6 – 2x – k

    ==: x + k = x + 6 – k

    ==: k = 6 – k

    ==: 2k = 6

    ==: k = 3

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