2015 RI P1 Q2

2015 RI P1 Q2

4 marks
Prelims

The first term of an arithmetic series is \(5\) and the \({{25}^{\mathrm{th}}}\) term of the series is \(\frac{31}{5}\). Find the least value of \(n\) such that the sum of the first \(n\) terms of the series exceeds \(1000\).[4]

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Answer:\(d = \frac{1}{20}\); least \(n = 124\)

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