
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
Let the sum of the first n terms of the arithmetic sequence $\{a_n\}$ be $A_n$, and the sum of the first n terms of the geometric sequence $\{b_n\}$ be $B_n$. If $a_3=b_3$, $a_4=b_4$, and $$\frac {A_{5}-A_{3}}{B_{4}-B_{2}}=7$$, find the value of $$\frac {a_{5}+a_{3}}{b_{5}+b_{3}}$$.

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