
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
Observe the following table:  
1,  
2, 3,  
4, 5, 6, 7,  
8, 9, 10, 11, 12, 13, 14, 15,  
...Question:  
(1) What is the last number of the nth row in this table?  
(2) What is the sum of all numbers in the nth row of this table?  
(3) Which row and which position in that row does the number 2008 occupy?

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