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})
Correct Answer: Option C
Explanation
(-1, (frac{2}{3}), -(frac{1}{2}), (frac{2}{5})……)
nthterm is (-1)n(frac{2}{n + 1})
Since (-1)n will always be negative for n = odd