Find the common difference and the nth term of ewch arithmetic sequence. a  3,5,7,9 b. 5,2,-1,-4?

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  • 1 month ago
    Favourite answer

    You asked this question yesterday and received many good answers, including mine. Here it is again:

    a) nth term of AP is a + (n - 1)d

    so, 3, 5, 7, 9,...a = 3 and d = 2

    Hence, 3 + 2(n - 1) => 2n + 1

    b) with 5, 2, -1, -4,....a = 5 and d = -3

    Hence, 5 + (n - 1)(-3) => 8 - 3n

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  • 3 weeks ago

     The common difference and the nth term of each arithmetic sequence:

     a. 

     3, 5, 7, 9, ...

     d = 2

     an = 2 n + 1 

     b. 

     5, 2, -1, -4, ...

     d = -3

     an = 8 - 3 n 

  • sepia
    Lv 7
    1 month ago

     Find the common difference and the nth term of each arithmetic sequence. 

     a) 

     3, 5, 7, 9, ... The common difference is 2.

     a_n = 2 n + 1 

     b)

     5, 2, -1, -4, ...  The common difference is -3.

     a_n = 8 - 3 n 

  • 1 month ago

    a) d = 2.  a(n) = 3 + (n - 1)(2).  a(n) = 3 + 2n - 2.  a(n) = 1 + 2n.

    b) d = -3. a(n) = 5 + (n - 1)(-3). a(n) = 5 - 3n + 3. a(n) = 8 - 3n.

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