-11, -9, -7, -5, -3 What is the next number? What is the 200th term in this sequence?

Discussion in 'Calculator Requests' started by math_celebrity, Feb 3, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    -11, -9, -7, -5, -3 What is the next number? What is the 200th term in this sequence?

    We see that Term 1 is -11, Term 2 is -9, so we do a point slope equation of (1,-11)(2,-9) to get the nth term of the formula

    f(n) = 2n - 13

    The next number is the 6th term:
    f(6) = 2(6) - 13
    f(6) = 12 - 13
    f(6) = -1

    The 200th term is:
    f(200) = 2(200) - 13
    f(200) = 400 - 13
    f(200) = 387
     

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