
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
The sum of the first $n$ terms of two arithmetic sequences $\{a_n\}$ and $\{b_n\}$ are $S_n$ and $T_n$ respectively. If $$\frac {S_{n}}{T_{n}}= \frac {n+3}{2n+1}$$, then $$\frac {a_{6}}{b_{6}}$$= \_\_\_\_\_\_.

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