
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
A subsidiary of a company is engaged in the production of a certain high-tech product. In the first year, the subsidiary had a starting capital of 20 million yuan, which was invested in production. By the end of that year, the capital had grown by 50%. It is expected that the annual growth rate in subsequent years will be the same as in the first year. Starting from the first year, the company requires the subsidiary to hand in d million yuan at the end of each year, and the remaining capital is fully invested for the next year's production. Let a_n be the remaining capital in million yuan at the end of year n after paying d million yuan.
(Ⅰ) Express a_1 and a_2 in terms of d, and establish the relationship between a_(n+1) and a_n;
(Ⅱ) If the company wishes to have a remaining capital of 40 million yuan after m (m≥3) years, determine the value of d that the subsidiary needs to pay annually (in terms of m).

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