
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
Calculate the sum of all numbers of the form $3k + 2$, where $k$ takes on integral values from $2$ to $n$.
A) $\frac{3n^2 + 10n - 10}{2}$
B) $\frac{3n^2 + 7n - 10}{2}$
C) $\frac{3n^2 + 5n - 10}{2}$
D) $3n^2 + 7n - 10$
E) $\frac{3n^2 + 9n - 10}{2}$

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