
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
Divide a sample of size 1000 into 10 groups and fill in the frequency distribution table. If the frequencies of the first 3 groups form an arithmetic sequence with a common difference of 0.05, and the sum of the frequencies of the last 7 groups is 0.79, then find the frequency of the group with the smallest frequency among the first 3 groups.

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