题目
For each positive integer n, an=
选项
A.The quantity in Column A is greater.
B.The quantity in Column B is greater.
C.The two quantities are equal.
D.The relationship cannot be determined from the information given.
解析
数列通项:$a_n = \frac{1}{n} - \frac{1}{n+1}$
A:
$a_1 + a_2 + a_3 + a_4$
$= \left(1 - \frac{1}{2}\right) + \left(\frac{1}{2} - \frac{1}{3}\right) + \left(\frac{1}{3} - \frac{1}{4}\right) + \left(\frac{1}{4} - \frac{1}{5}\right)$
$= 1 - \frac{1}{5} = \frac{4}{5}$
A = B
答案:C