2013 MJC P1 Q10
2013 MJC P1 Q10
Prelims
- A geometric series has common ratio \(r\), and an arithmetic series has first term \(a\) and common difference \(d\), where \(a\) and \(d\) are non-zero. The first three terms of the geometric series are equal to the seventh, fourth and second terms respectively of the arithmetic series.
- Find \(d\) in terms of \(a\).
- Deduce that the geometric series is convergent and find, in terms of \(a\), the sum to infinity.
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Answer:\(S_\infty = 9a\)
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