Fraction Sequence: Next Terms and General Term

Fraction Sequence: Next Terms and General Term

Secondary 1

Fill in the blank to complete the number sequence and find an expression for the \({n}^{\mathrm{th}}\) term of the sequence.

\({\frac{2}{7},\ \frac{6}{11},\ \frac{10}{15},\ \frac{14}{19},\ \underline{\phantom{00}},\ \underline{\phantom{00}}}\)

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Answer:The missing terms are \(\frac{18}{23}\) and \(\frac{22}{27}\), and the \(n\)th term is \(\frac{4n-2}{4n+3}\).

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