
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
The first term of an arithmetic series is $t^2 + 3$. If the sum of the first $3t + 2$ terms is needed, and the series consists of consecutive integers, what is the sum of these terms?
A) \( (3t+2)(2t^2 + 3t + 7) \)
B) \( (3t+2)(t^2 + 1.5t + 3.5) \)
C) \( (t^3 + 2t^2 + 3t + 4) \)
D) \( (3t + 2)(t+1)^3 \)

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