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General term for a sequence is given as
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22 May 2024, 00:00
22 May 2024, 00:00
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Question Stats:
75% (01:04) correct
25% (02:11) wrong based on 20 sessions
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General term for a sequence is given as \(a_k=\frac{1}{k}-\frac{1}{k+1}\) where k=1,2,3,..................100, What is the sum of all the 100 terms of the given series?
A. 1/100
B. 0
C. 100/101
D. 1
E. 101/100
A. 1/100
B. 0
C. 100/101
D. 1
E. 101/100
Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
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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
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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 for a sequence is given as
[#permalink]
25 Aug 2024, 10:38
25 Aug 2024, 10:38
Expert Reply
If we substitute the values into the formula given we do have
A_1=1-1/2
A_2=1/2-1/3
.................
The first 100 terms are
Sum=1-1/101=100/101
C is the answer
A_1=1-1/2
A_2=1/2-1/3
.................
The first 100 terms are
Sum=1-1/101=100/101
C is the answer
gmatclubot
Re: General term for a sequence is given as [#permalink]
25 Aug 2024, 10:38
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