
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 common difference of the arithmetic sequence $\left\{a_{n}\right\}$ is $d=2$, and the sum of the first 30 terms is $a_{1}+a_{2}+\cdots+a_{30}=100$. Find the sum of every third term from $a_{3}$ to $a_{30}$: $a_{3}+a_{6}+\cdots+a_{30}$.

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