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Of the five numbers in a sequence, the first term is 10,000, and each

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Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post Updated on: 02 Jun 2016, 09:57
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Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
(A) 9,375
(B) 9,750
(C) 9,975
(D) 9,984
(E) 10,736

Originally posted by YAObolt on 02 Jun 2016, 08:28.
Last edited by YAObolt on 02 Jun 2016, 09:57, edited 1 time in total.
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Re: Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post 02 Jun 2016, 09:52
YAObolt wrote:
Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
(A) 9,375
(B) 9,750
(C) 9,975
(D) 9,984
(E) 10,736


1st number= 10,000
2nd number = 20% of 10,000= 2000
3rd number= 20% of 2000= 400
4th number = 20% of 400= 80
5th number= 20% of 80= 16

Range = 10,000-16= 9984

D is the answer
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Re: Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post 02 Jun 2016, 10:53
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10,000-(10,000*.2^4)=9,984
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Re: Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post 02 Jun 2016, 11:21
YAObolt wrote:
Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
(A) 9,375
(B) 9,750
(C) 9,975
(D) 9,984
(E) 10,736


20% = \(\frac{1}{5}\)

First term is 10000
Second term is 2000
Third term is 400
Fourth term is 80
Fifth Term is 16

Range = Highest Number - Lowest Number

So, Range = 10000 - 16

Or, Range = 9984

Hence Answer will be (D)

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Re: Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post 20 Aug 2016, 03:51
first term = 10000
second term = 20 % of 10000 = 2000
third term = 20 % of 2000 = 400
fourth term = 20 % of 400 = 80
fifth term = 20 % of 80 = 16

Range of a set = Highest Number - Lowest Number
= 10000 - 16 = 9984

Correct answer - D
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Re: Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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New post 29 Jul 2018, 22:08
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the five numbers in a sequence, the first term is 10,000, and each &nbs [#permalink] 29 Jul 2018, 22:08
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