
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 $b_n$, let $A_n$ and $B_n$ denote the sums of the first $n$ terms of each sequence, respectively. If $\frac {A_{n}}{B_{n}} = \frac {n}{n+1}$, determine the value of $\frac {a_{4}}{b_{4}}$.

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