GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
General term in a sequence is given as A_k=1/k
[#permalink]
20 May 2024, 00:35
20 May 2024, 00:35
Expert Reply
00:00
Question Stats:
58% (01:31) correct
41% (02:04) wrong based on 12 sessions
Hide Show timer Statistics
General term in a sequence is given as \(A_k=\frac{1}{k}-\frac{1}{k+1}\), where \(k =2,3,4......,100\). What is the sum of all terms in this series ?
A. \(\frac{1}{3}\)
B. \(\frac{1}{2}\)
C. \(\frac{97}{202}\)
D. \(\frac{99}{202}\)
E. 1
A. \(\frac{1}{3}\)
B. \(\frac{1}{2}\)
C. \(\frac{97}{202}\)
D. \(\frac{99}{202}\)
E. 1
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
Shorter GRE - Preparing for the Quantitative Reasoning Measure
Shorter GRE - Preparing for the Verbal Reasoning Measure
Re: General term in a sequence is given as A_k=1/k
[#permalink]
20 May 2024, 13:01
20 May 2024, 13:01
1
Hey, what's up, great question.
This is a pattern recognition one, which is easy if you don't add each term but rather write them out. For example the first term: 1/2 -1/3 = 1/6, instead just write 1/2 -1/3 and move to the next term which would be 1/3-1/4 which is equal to: 1/2- 1/3+ 1/3- 1/4 you can now eliminate the 1/3. The pattern is all the middle will be canceled leaving you with the first and last term 1/2- 1/101=99/202.
This is a pattern recognition one, which is easy if you don't add each term but rather write them out. For example the first term: 1/2 -1/3 = 1/6, instead just write 1/2 -1/3 and move to the next term which would be 1/3-1/4 which is equal to: 1/2- 1/3+ 1/3- 1/4 you can now eliminate the 1/3. The pattern is all the middle will be canceled leaving you with the first and last term 1/2- 1/101=99/202.
gmatclubot
Re: General term in a sequence is given as A_k=1/k [#permalink]
20 May 2024, 13:01
Moderators:
