SOLUTION: If f is a function such that for all integers m and n, f(m,1) = m+1 and f(m,n) = f(m+2,n-3), then f(84,967) equals...

Algebra ->  Functions -> SOLUTION: If f is a function such that for all integers m and n, f(m,1) = m+1 and f(m,n) = f(m+2,n-3), then f(84,967) equals...      Log On


   



Question 1123341: If f is a function such that for all integers m and n, f(m,1) = m+1 and f(m,n) = f(m+2,n-3), then f(84,967) equals...
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Repeatedly using f(m,+n) = f(m%2B2,+n-3%29) yields
f(84,+967)
= f(84+%2B+2, 967+-+3)
= f(84+%2B+2+%2A+2, 967+-+2+%2A+3)
:
:
:
= f(84+%2B+322+%2A+2, 967+-+322+%2A+3)
= f(728, 1)
= 728+%2B+1, via f(m,1) =+m%2B1
= 729