
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
There are two arithmetic sequences: $(2), (6), (10), (…), (190)$ and $(2), (8), (14), (…), (200)$. Form a new sequence ${a_{n}}$ by arranging the common terms of these two sequences in ascending order.
(I) Find the general term formula for the sequence ${a_{n}}$.
(II) Find the sum of all terms in the sequence ${a_{n}}$.

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