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

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Intern
Joined: 02 Jun 2016
Posts: 7
Of the five numbers in a sequence, the first term is 10,000, and each  [#permalink]

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Updated on: 02 Jun 2016, 09:57
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Difficulty:

25% (medium)

Question Stats:

80% (01:08) correct 20% (02:16) wrong based on 61 sessions

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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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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

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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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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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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

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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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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

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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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29 Jul 2018, 22:08
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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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