BTGmoderatorDC wrote:$$\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{3}-\frac{1}{4}\right)+\left(\frac{1}{4}-\frac{1}{5}\right)+\left(\frac{1}{5}-\frac{1}{6}\right)=$$
$$A.\ -\frac{1}{6}$$
B. 0
$$C.\ \frac{1}{3}$$
$$D.\ \frac{1}{2}$$
$$E.\ \frac{2}{3}$$
All the values between the first term and the last term CANCEL OUT.
If we subtract the last term from the first term, we get:
$$\ \frac{1}{2}-\frac{1}{6}=\ \frac{3}{6}-\frac{1}{6}=\frac{2}{6} = \frac{1}{3}$$
The correct answer is
C.
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