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13 February, 06:50

Which arithmetic sequence has a common difference of 3? A) 0, 3n, 6n, 9n, ... B) n, 3n, 9n, 27n, ... C) n + 1, n + 4, n + 7, n + 10, ... D) n + 3, n + 9, n + 27, n + 81,

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  1. 13 February, 08:07
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    Option C is correct.

    Step-by-step explanation:

    Given the arithmetic sequence. we have to choose that arithmetic sequence which has the common difference of 3.

    Option A: 0, 3n, 6n, 9n, ...

    The above sequence gives the common difference

    3n-0=6n-3n=9n-6n=3n

    Option B: n, 3n, 9n, 27n, ...

    The above sequence does not give the same difference. Hence, not AP

    Option C: n + 1, n + 4, n + 7, n + 10, ...

    The above sequence gives the common difference

    n+1-0=n+4 - (n+1) = 3

    Option D: n + 3, n + 9, n + 27, n + 81

    The above also sequence does not give the same difference. Hence, not AP.

    Hence, option C is correct.
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