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\(\frac{n}{2n - 1}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
(-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
Source: Myschool Past Questions Archive (Record #32621)