
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A population grows by 10% from time $t=0$ to time $t=2$, then by 20% from time $t=2$ to time $t=4$. Finally, from time $t=4$ to time $t=6$, it increases by $k\%$, where $k$ is twice the percentage increase between $t=2$ and $t=4$. Calculate the total percentage increase of the population from $t=0$ to $t=6$.

Present the answer in LaTex format: \boxed{Your answer}
user