#### General formula for nth element of the sequence 0, 1, 0, 1, …

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###### Alice Davidson

User

( 5 months ago )

The sequence is $$f=0,1,0,1,…f=0,1,0,1,…$$

I want to find a general formula for the $$nn$$th element. The sequence starts at $$n=0n=0$$ (the $$00$$ here is not the first element $$00$$ but rather denotes the $$00$$th position).

One easy and obvious solution is: $$nn$$th $$f=nmod2f=nmod2$$. This works because even positions have $$00$$ and odd positions have $$11$$.

However, this question is part of a homework and modulus has not been discussed (or part of the syllabus or even a prerequisite). And so I am hesitant to use it.

Is there another way to solve this problem using only basic arithmetic operations (one that a beginning high schooler knows of)?

Ra
04-Sep-2019

2 Replies

Ra
05-Sep-2019

2 Replies

11-Sep-2019

0 Replies