| Exam Board | OCR |
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| Module | H240/02 (Pure Mathematics and Statistics) |
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| Year | 2022 |
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| Session | June |
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| Topic | Geometric Sequences and Series |
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4 An artist is creating a design for a large painting. The design includes a set of steps of varying heights. In the painting the lowest step has height 20 cm and the height of each other step is \(5 \%\) less than the height of the step immediately below it.
In the painting the total height of the steps is 205 cm , correct to the nearest centimetre.
Determine the number of steps in the design.