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For each positive integer n

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For each positive integer n [#permalink] New post   19 Jul 2021, 04:35
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For each positive integer n, \(a_n=\frac{1}{n}-\frac{1}{n+1}\)


Quantity A
Quantity B
\(a_1+a_2+a_3+a_4\)
\( \frac{4}{5 }\)



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.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: For each positive integer n [#permalink] New post   19 Jul 2021, 07:45
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\(a_n=\frac{1}{n}-\frac{1}{n+1}\)

Qt A

\(a_1+a_2+a_3+a_4\)

(\(1\) - \(\frac{1}{2}\)) + (\(\frac{1}{2}\) - \(\frac{1}{3}\)) + (\(\frac{1}{3}\) - \(\frac{1}{4}\)) + (\(\frac{1}{4}\) - \(\frac{1}{5}\))

(\(1\) - \(\frac{1}{5}\)) = \(\frac{4}{5}\)

Qt A = Qt B

Answer C
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Re: For each positive integer n [#permalink]
19 Jul 2021, 07:45
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