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Math Help - Sequences

  1. #1
    Junior Member
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    Sequences

    Problem 1

    Recursion formula: a(subscript:n+2)=a(subscript:n+1)/a(subscript:n)

    a(subscript:1)= 2
    a(subscript:2)= -1
    a(subscript:3)= ?

    How would you find the next term in the sequence?

    Problem 2

    The sequence 1, -1/4, 1/9, -1/16, 1/25.....
    (reciprocals of squares of the positive integers, with alternating signs)

    what would the formula for the nth term of the sequence be?
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  2. #2
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    a_3  = \frac{{a_{3 - 1} }}<br />
{{a_{3 - 2} }} = \frac{{a_2 }}<br />
{{a_1 }}<br />
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