一个投资产品花了100000元，第一年获利3341.91元，下一年在前一年的基础上多获利前一年的2.5%，以此类推，求多少年能收回投资成本

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Here are 5 related questions to explore the problem further:

1. 如何在没有编程工具的情况下手动计算这种问题？
2. 如果增长率从2.5%提升到5%，年限会有什么变化？
3. 投资回报率较低时，如何优化投资组合以缩短回本时间？
4. 投资回收期是否可以通过增加初始投资收益来缩短？
5. 如何

This problem explores how long it will take to recover an investment of 100,000 yuan, with an annual growth rate of 2.5% in profits. Learn the step-by-step calculation process using compound interest and iterative growth formulas. Suitable for students in Grades 10-12.

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