
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
Consider the following sequence of sets:  $ \{ 1,2\} ,\{ 3,4,5\}, \{ 6,7,8,9\} ,... $ **a)** Find the samllest element of the  $ 100\text{-th} $  term.**b)** Is  $ 2015 $  the largest element of one of these sets?

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