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Sequence word problems

Since the repayment is at the end of the year, there is no down payment immediately when buying a house, and it will be repaid in ten years, with a certain amount of repayment every year. Then we can do the following:

Suppose the annual repayment amount is x million yuan.

The value of an amount of 100,000 yuan after 10 years is 10 times (1+4.5%) raised to the 10th power, which is the sum of principal and interest after 10 years.

Since only a portion of the loan can be exchanged each year, interest will be involved in the remaining loan repayment amount. That is, part of the annual repayment is the principal and part is the interest.

Since repayment is at the end of each year, a 10-year loan*** requires 10 repayments.

x(1+4.5%)9th power+x(1+4.5%)8th power+x(1+4.5%)7th power+…………+x(1+4.5 %)+ x = 10 (1+4.5%) 10th power

It can be solved by using the knowledge of geometric sequence.

The answer is 12,600 yuan.