
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
A given infinite arithmetic progression is \(3, 16, 29, 42, \ldots\). Find:

a) The smallest term in the sequence that is composed entirely of the digit 7.

b) All such terms.

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