
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
Starting from 1, the sum of consecutive odd numbers is as follows:  
1 = 1<sup>2</sup>,  
1 + 3 = 4 = 2<sup>2</sup>,  
1 + 3 + 5 = 9 = 3<sup>2</sup>,  
1 + 3 + 5 + 7 = 16 = 4<sup>2</sup>,  
1 + 3 + 5 + 7 + 9 = 25 = 5<sup>2</sup>,  
(1) Please deduce the formula for the sum $s$ of $n$ consecutive odd numbers starting from 1.  
(2) Calculate:  
① 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19;  
② 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25.  
(3) Given that 1 + 3 + 5 + … + (2n - 1) = 225, find the integer value of $n$.

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