Mathematics 4024 · O Level · Sequences

Sequences — practice question

The first five terms of a sequence are given as $\frac{3}{4}, \frac{7}{8}, \frac{11}{12}, \frac{15}{16}, \frac{19}{20}$.
(a)[1]

Write down the next two terms in the sequence.

(b)[1]

The $k$th term is $\frac{1199}{1200}$. Find $k$.

(c)[2]

Find an expression for the $n$th term, in terms of $n$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $\frac{23}{24},\ \frac{27}{28}$

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