
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
Given $\{a_n\}$ be a geometric sequence with a common ratio greater than 1, if $a_{2011}$ and $a_{2012}$ are the two roots of the equation $4x^2-8x+3=0$, calculate the value of $a_{2013}+a_{2014}$.

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