Let me preface this by saying this is not a homework problem or anything, although it may look like it to some. Also, I don't have much of a math background (Calc I & II, Linear Algebra), but I don't think this problem requires much knowledge of "higher," math; just some good problem solving skills. I'd be real greatful to anyone who could throw me some hints at where to go with this problem. Thanks a bunch in advance!(adsbygoogle = window.adsbygoogle || []).push({});

So anyway, here it is:

Consider sequence [tex]a_{n}=2^({2}^{n})[/tex]. Let [tex]b_{n}[/tex] be the first digit of [tex]a_{n}[/tex]. Determine whether the sequence [tex]b_{n}[/tex] is periodic.

I'm sure this is very elementary, but would appreciate all help/sympathy. :tongue2:

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# Sequence: Periodic or Not?

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