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Pupil
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posted by  Phantom7970 on 11/14/2009 4:28:45 PM  |  status: Live  |  Earned Karma: 59

problem needed

Course Textbook Chapter Problem Needs by
Discrete Math Discrete Math and Its Applications (6th) by Rosen 4.2 30E 11/17/2009 at 6:00:00 PM
Question Details:
Can someone give a recursive definition of
a) The set of odd positive integers
b)The set of positive integers powers of 3
c)the set of polynomial with integers coefficients
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Oracle
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posted by Jonpp on 11/14/2009 4:48:59 PM  |  status: Live
Asker's Rating: Somewhat Helpful   
Response Details:
The set of odd positive integers
i(1) = 1
i(n+1) = i(n) + 2

The set of positive integer powers of 3
i(1)=3
i(n+1)=i(n)*3

The set of polynomials with integer coefficients
P(n) the set of nth order polynomials with integer coefficients

P(1)={ax+b, a,b integers}
P(n+1) = {ay+b, a,b integers, y an element of P(n)}
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