
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 that both $\{ a_{n} \}$ and $\{ b_{n} \}$ are arithmetic sequences, with $a_{2}=4$, $a_{4}=6$, $b_{3}=9$, and $b_{7}=21$, find the value of $c_{10}$.

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