
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
Several siblings are sharing an inheritance. According to the will, $A$ receives 2000 crowns and 1/10 of the remainder; $B$ receives 4000 crowns and 1/10 of the remainder; $C$ receives 6000 crowns and 1/10 of the remainder, and so on. It was observed that each sibling received an equal amount. How many siblings were there, how much did each receive, and what was the total inheritance?

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