
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 $R_n$ and $U_n$ be the respective sums of the first $n$ terms of two arithmetic sequences. If the ratio $R_n:U_n = (3n+5):(2n+13)$ for all $n$, find the ratio of the seventh term of the first sequence to the seventh term of the second sequence.
A) $7:6$
B) $4:3$
C) $3:2$
D) $5:4$

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