From a Facebook math quiz:
$$\begin{align} 11 + 11 &= 4 \\ 22 + 22 &= 16 \\ 33 + 33 &= \text{???} \end{align}$$
Maybe I'm just stupid but the answer to this is $36$, however I think it should be zero.
The reason I think this is because if you do $22 / 4 = 5.5$ then $44 / 16 = 2.75$. If you do $5.5 - 2.75$ it equals $2.75$, so the rate of change is $-2.75$. I think that that means the answer should be $0$.
Am I right or am I wrong?
The fact that both 11+11=4 and 22+22=16 doesn't prove the pattern exists. i.e. 1+1=2, 2+2=4, but 3+3=10 in base 6. Another example would be that the origin of the euclidean plane and (1,1) are common to all basic exponential curves, that two examples fall into infinite patterns where every other point is unique.