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22 July, 10:19

The term of an arithmetic sequence is - 5 and the tenth term is 13 find the common difference

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Answers (2)
  1. 22 July, 10:50
    0
    D=2

    13 - - 5=18

    There are 9 positions between - 5 and 13.

    18/9=2

    D=2
  2. 22 July, 12:37
    0
    nth term of an arithmetic sequence:

    The nth term of an arithmetic sequence is.

    Where is the first term and d is the common difference.

    The initial term is and common difference is.

    The nth term of an arithmetic sequence is.

    Substitute and in above equation.

    The nth term of an arithmetic sequence is

    Substitute in

    The fifty-first term of an arithmetic sequence is

    Solution:

    The nth term of an arithmetic sequence is

    The fifty-first term of an arithmetic sequence is
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