| Exam Board | CAIE |
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| Module | P1 (Pure Mathematics 1) |
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| Year | 2020 |
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| Session | November |
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| Topic | Arithmetic Sequences and Series |
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4 The sum, \(S _ { n }\), of the first \(n\) terms of an arithmetic progression is given by
$$S _ { n } = n ^ { 2 } + 4 n$$
The \(k\) th term in the progression is greater than 200.
Find the smallest possible value of \(k\).