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| Math Central | Quandaries & Queries |
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Question from Florence, a student: What does g(m-1,2n)+n for m>0, n>=0. I think it means for a specific m and n, such as m=5, n=2 g(m-1,2n)+n = g(5-1,2*2)+2 Is this correct, if not how do you deal with this type of equation? |
Hi Florence,
You are correct that for m = 5 and n = 2
g(m-1,2n)+n = g(5-1,2*2)+2
= g(4,4)+2
But you can't go any further. For example if the function is defined by g(p, q) = 2p + q then
g(4,4)+2
= 2 × 4 + 4 + 2
=14
and
g(6,6) = 2 × 6 + 6 = 18
Penny
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