Which of the formula below represents the general terms of the following set of numbers(-1,...

JAMB 1980

Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......) for n = 1, 2, 3, 4.......?

A. \(\frac{2}{n + 1}\)
B. (-1)^{n + 1} \(\frac{2}{n + 1}\)
C. (-1)ⁿ \(\frac{2}{n + 1}\)
D. \(\frac{n}{2n - 1}\)
E. (-1)ⁿ\(\frac{n}{2n - 1}\)

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Correct Answer: Option C

Explanation

(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......)

n^thterm is (-1)ⁿ\(\frac{2}{n + 1}\)

Since (-1)ⁿ will always be negative for n = odd

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Which of the formula below represents the general terms of the following set of numbers(-1,...

Correct Answer: Option C

Explanation

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