
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
Suppose the first stage of a new pattern also starts with toothpicks forming structures, where each segment still represents a toothpick. In this new pattern, however, the first stage starts with 6 toothpicks, and each successive stage adds 5 more toothpicks than the previous one. How many toothpicks are necessary to construct the 150th stage?

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