(a) Let a sequence of a integer x have a length of n, n is less than infinity, and let this sequence be part of the infinite sequence of integers in the square root of 2. Is it true that for every sequence of length n there is a sequence of length n+1 for the same integer x?
(b) What about for an irrational number y = k sqrt(2)?
(c) Find a function f(x,n,j) that is equal to 1 when for a sequence of integers x of length n there is also a length n+1 contained in some real number j and zero when this is not true. (For example,
f(9,2, pi)=1 because there is a sequence of 2 9s at about the hundreth decimal place.)
2007-01-07
21:35:13
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4 answers
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asked by
Anonymous
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Mathematics