The $n \mathrm{th}$ term of a sequence is given by $ T_{n} = \frac{3n +2}{47 - 2n}$ Find \(T_{3}

Question

The $n \mathrm{th}$ term of a sequence is given by $ T_{n} = \frac{3n +2}{47 - 2n}$ Find $T_{3}$. Given that $ T_{k} = 13$, find the value of $k$. Explain why $3n + 2$ is always positive. Hence or otherwise, find the least value of $n$ for which $T_{n} < 0$.

Accepted Answer

(a) $\dfrac{11}{41}$ (b) $k=21$ (c)(i) $3n+2\ge5>0$ (c)(ii) least $n=24$

2022 TKSS EOY P2 Q3

2022 TKSS EOY P2 Q3

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