Consider the following sequence: $\frac{3}{4}$, $\frac{15}{8}$, $\frac{35}{12}$, \(\frac{63}{1

Question

Consider the following sequence: $\frac{3}{4}$, $\frac{15}{8}$, $\frac{35}{12}$, $\frac{63}{16}$, … Write down the next term in the sequence. Find an expression, in terms of $n$, for the ${{n}^{\mathrm{th}}}$ term, ${{T}_{n}}$, of this sequence. Are there any terms in the sequence that are integers? Explain your reasons clearly.

Accepted Answer

(a) $\frac{99}{20}$ (b) $T_n=\frac{4n^2-1}{4n}$ (c) No terms are integers

IP1U7 Exercise Q7

IP1U7 Exercise Q7

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