What is the equation for the sequence 1, 2, 1/4, 8, 1/16, 32,......

3 answers

1. I see
   
   2^0 , 2^1 , 2^-2 , 2^3 , 2^-4, 2^5 , ...
   
   Try to state a general term for this.
   
   let me know what you got.

   Answer ID
   525024

   Created
   April 4, 2011 1:23am UTC

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   URL
   https://questions.llc/answers/525024

2. how do i write that in terms of An? like An= (2)^n(-1)^n
   some thing like that? or is that right

   Answer ID
   525034

   Created
   April 4, 2011 1:32am UTC

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   URL
   https://questions.llc/answers/525034

3. first of all, notice your primary exponent of n has to be one less than the term number
   
   so lets start with 2^(n-1)
   to give us 1,2,4,8,....
   
   now you want to make all odd-numbered terms to have a negative exponent
   Your (-1)^n does that perfectly.
   
   so you were very close,
   
   Term(n) = 2^((n-1)(-1)^n)

   Answer ID
   525056

   Created
   April 4, 2011 2:00am UTC

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   URL
   https://questions.llc/answers/525056