| Exam Board | OCR |
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| Module | H240/03 (Pure Mathematics and Mechanics) |
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| Year | 2021 |
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| Session | November |
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| Topic | Arithmetic Sequences and Series |
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3 An arithmetic progression has first term 2 and common difference \(d\), where \(d \neq 0\). The first, third and thirteenth terms of this progression are also the first, second and third terms, respectively, of a geometric progression.
By determining \(d\), show that the arithmetic progression is an increasing sequence.