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The nth term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...

Mathematics
JAMB 2013

The nth term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...
  • A. \(\frac{1 - 3n}{n + 1}\)
  • B. \(\frac{3n + 1}{n + 1}\)
  • C. \(\frac{3n + 1}{n - 1}\)
  • D. \(\frac{3n - 1}{n + 1}\)
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Correct Answer: Option B
Explanation
Using Tn = \(\frac{3n + 1}{n + 1}\),

T1 = \(\frac{3(1) + 1}{(1) + 1} = \frac{4}{2}\)

T2 = \(\frac{3(2) + 1}{(2) + 1} = \frac{7}{3}\)

T3 = \(\frac{3(3) + 1}{(3) + 1} = \frac{10}{4}\)

There is an explanation video available below.


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Explanation Video

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