Let f: N N N be a function such that f((1,1))=2 and f((m+1, n))=f((m, n))+2(m+n) and f((m, n+1))=f((m, n))+2(m+n-1), m, n N , then find f(2,2)

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Correct answer: D. 10

Given function f: N N N , such that f(m+1, n)=f(m, n)+2(m+n) and f(m, n+1)=f(m, n)+2(m+n-1) , where f(1,1)=2 . aligned f(2,2) & =f(1+1,2)=f(1,2)+2(1+2) & =f(1,1+1)+6 & =f(1,1)+2(1+1-1)+6 & =f(1,1)+8=2+8=10 aligned

Let f: N N N be a function such that f((1,1))=2 and f((m+1, n))=f((m, n))+2(m+n) and f((m, n+1))=f((m, n))+2(m+n-1), m, n N , then find f(2,2)

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