Order of Reaction differs in equation and linearisation

I have given the following equation: $A + 2B \rightarrow C$


$ v = –k\cdot [A]\cdot[B]^2$ 


gives me the orders 1 for A and 2 for B. That results in a total order of the reaction of 3.
So far so good. But I have given the following plot for linearization:


[![enter image description here](https://i.stack.imgur.com/NW3m3.png)](https://i.stack.imgur.com/NW3m3.png)


But this linearization with $\frac{1}{[A]}$ defines a 2nd Order for A, not 1st.


The question is what does this mean for the given equation? And in which sequence could steps of the reaction occur?


