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Find common term for this sequence

  1. Oct 5, 2016 #1
    1. The problem statement, all variables and given/known data
    6 /(12 + 1), 1/(22 + 1),6/(32 + 1),1/(42 + 1)

    2. Relevant equations
    none

    3. The attempt at a solution
    I suspect this is not that hard, I get the denominators but the numerator alternates so I though I would need 6 to be the base of a power that alternates between 0 and 1 but I cant think of anything :/
     
  2. jcsd
  3. Oct 5, 2016 #2

    andrewkirk

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    Are you trying to find a formula for the nth term in the sequence?

    You can handle the alternation between 1 and 6 by using the mod function, expressing things in mod 2.

    Or, there's a special number that, when raised to the power of integer ##n##, gives alternating behavior of the type you seek. What number is that?
     
  4. Oct 5, 2016 #3
    yes that's what i'm trying to do
    I've never heard of a mod function:/ but i'll google it. A number that alternates between one and zero? cant think of one, hint?
     
  5. Oct 5, 2016 #4

    andrewkirk

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    The number doesn't alternate. Its powers do ('power' as in multiplying a number by itself an integer number of times). Every time we increase the power/index/exponent by 1, the result switches from one of the possible values to the other. Also, the two possible values are not 1 and 0.

    The link for mod function is a hyperlink in my post above (blue text).
     
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