
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
① Explore the pattern:  
$15^2 = 225 = 100 \times 1(1+1) + 25$;  
$25^2 = 625 = 100 \times 2(2+1) + 25$;  
$35^2 = 1225 = 100 \times 3(3+1) + 25$;  
…  
$55^2 = 3025 = \quad$;  
$65^2 = 4225 = \quad$;  
…;  
② From the results of ①, conjecture:  
$(10n+5)^2 = \quad$;  
③ Based on the conjecture above, calculate the following result:  
$1995^2 = \quad$.

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