2022 CJC Promo Q2
2022 CJC Promo Q2
6 marks
Promo
The second, fifth and tenth term of an arithmetic series with non-zero common difference are the first three terms of a geometric series respectively.
- Find the common ratio.[3]
It is further given that the first term of the arithmetic and geometric series are \(7\) and \(9\) respectively.
- Find the least value of \(n\) for which the \(n\) th term of the arithmetic series is smaller than the \(n\)th term of the geometric series by at least \(1000\).[3]
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Answer:(i) \(r=\dfrac53\) (ii) Least \(n=11\)
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