
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 two arithmetic sequences $ \{ a_n \} $ and $ \{ b_n \} $ with the sum of the first $ n $ terms denoted as $ S_n $ and $ T_n $ respectively, and satisfying $ \frac {S_{n}}{T_{n}} = \frac {7n+2}{n+3} $, find the ratio $ \frac {a_{5}}{b_{5}} $.

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