Let f, g : N [ ] N such that f(n + 1) = f(n) + f(1) [ ] n[]N and g be any arbitrary functi…

Question

Let f, g : N $$ \to $$ N such that f(n + 1) = f(n) + f(1) $$\forall $$ n$$\in$$N and g be any arbitrary function. Which of the following statements is NOT true?

Accepted Answer

$f(n + 1) = f(n) + 1$

$f(2) = 2f(1)$

$f(3) = 3f(1)$

$f(4) = 4f(1)$

.....

$f(n) = nf(1)$

$f(x)$ is one-one

Solutions · 1