
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 their first n terms being A_n and B_n respectively, and \frac{A_n}{B_n}=\frac{7n+45}{n+3}, find the value of \frac{a_7}{b_7}.

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