
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
If the sequences $\{a_{n}\}$ and $\{b_{n}\}$ are both arithmetic sequences, and $\frac{{{a_1}+{a_2}+⋯+{a_n}}}{{{b_1}+{b_2}+⋯+{b_n}}}=\frac{{5n+3}}{{n+2}}$, then $\frac{{{a_7}}}{{{b_7}}}=\_\_\_\_\_\_$.

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