题目

For each positive integer n, an=

Quantity A

a1+a2+a3+a4

Quantity B

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
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