
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 sum of the first $n$ terms of an arithmetic progression is given by $S_n = 3n + 4n^2$. What is the $r$th term of this sequence?
A) $7r^2 + 3r$
B) $8r - 1$
C) $9r + 1$
D) $7r - 2$
E) $8r + 5$

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