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Mathematics · Grades 9–12

Repeated percentage growth

Use the decimal growth rate; assume the same rate each period.

Make a worksheet

The key idea

Use the decimal growth rate; assume the same rate each period.

A = P(1 + r)ⁿ

Worked examples

A model starts with 4900 units and grows by 25% each year for 2 years. Find the final number of units.

4900 × 1.25² = 7656.25

7656.25

A model starts with 5900 units and grows by 20% each year for 2 years. Find the final number of units.

5900 × 1.2² = 8496

8496

Try it yourself

  1. A model starts with 2500 units and grows by 25% each year for 2 years. Find the final number of units.

  2. A model starts with 4500 units and grows by 10% each year for 2 years. Find the final number of units.

Check your understanding

Answers and marking notes
  1. 3906.25

    2500 × 1.25² = 3906.25

  2. 5445

    4500 × 1.1² = 5445

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.