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Let u represent the sum of the integers from 1 through 20, and let v r
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11 May 2021, 03:47
11 May 2021, 03:47
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Let u represent the sum of the integers from 1 through 20, and let v represent the sum of the integers from 21 through 40. What is the value of v – u ?
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Let u represent the sum of the integers from 1 through 20, and let v r
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11 May 2021, 05:52
11 May 2021, 05:52
1
Carcass wrote:
Let u represent the sum of the integers from 1 through 20, and let v represent the sum of the integers from 21 through 40. What is the value of v – u ?
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
u = 1 + 2 + 3 + 4 + . . . . + 19 + 20
v = 21 + 22 + 23 + 24 + . . . . 39 + 40
Now let's write v a special way by recognizing that each value in v is 20 greater than its corresponding value in u.
For example, 21 = 1 + 20
And 22 = 2 + 20
23 = 3 + 20
.
.
.
40 = 20 + 20
So, v = (1 + 20) + (2 + 20) + (3 + 20) + . . . (19 + 20) + (20 + 20)
Notice that we have added 20 to twenty values.
(20)(20) = 400, so we can say: v = 1 + 2 + 3 + 4 + . . . . + 19 + 20 + 400
So, v - u = [1 + 2 + 3 + 4 + . . . . + 19 + 20 + 400] - [1 + 2 + 3 + 4 + . . . . + 19 + 20]
= 400
Answer: E
Cheers,
Brent
Re: Let u represent the sum of the integers from 1 through 20, and let v r
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16 Apr 2024, 04:31
16 Apr 2024, 04:31
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Thanks to another GRE Prep 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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