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In an increasing sequence of 10 consecutive integers
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Updated on: 20 Jul 2022, 06:07
Updated on: 20 Jul 2022, 06:07
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Question Stats:
75% (01:39) correct
25% (02:56) wrong based on 8 sessions
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In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. What is the sum of the last 5 integers in the sequence?
(A) 585
(B) 580
(C) 575
(D) 570
(E) 565
Posted from my mobile device
(A) 585
(B) 580
(C) 575
(D) 570
(E) 565
Posted from my mobile device
Originally posted by SeaOyster1 on 19 Jul 2022, 10:36.
Last edited by Carcass on 20 Jul 2022, 06:07, edited 2 times in total.
Last edited by Carcass on 20 Jul 2022, 06:07, edited 2 times in total.
Formatted
Re: In an increasing sequence of 10 consecutive integers
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19 Jul 2022, 10:37
19 Jul 2022, 10:37
1
Solution -
Say our 10 consecutive integers are x, x+1, x+2, ..., x+9.
x+(x+1)+(x+2)+(x+3)+(x+4)=560
=> (x+5)+(x+6)+(x+7)+(x+8)+(x+9)=?
Notice that the 6th term is 5 more than the 1st term, the 7th term is 5 more than the 2nd term, ..., the 10th term is 5 more than the 5th term, thus the sum of the last 5 terms is 5*5=25 greater than the sum of the first 5 terms. Therefore the answer is 560+25=585
Answer A.
Posted from my mobile device
Say our 10 consecutive integers are x, x+1, x+2, ..., x+9.
x+(x+1)+(x+2)+(x+3)+(x+4)=560
=> (x+5)+(x+6)+(x+7)+(x+8)+(x+9)=?
Notice that the 6th term is 5 more than the 1st term, the 7th term is 5 more than the 2nd term, ..., the 10th term is 5 more than the 5th term, thus the sum of the last 5 terms is 5*5=25 greater than the sum of the first 5 terms. Therefore the answer is 560+25=585
Answer A.
Posted from my mobile device
Re: In an increasing sequence of 10 consecutive integers
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19 Jul 2022, 10:53
19 Jul 2022, 10:53
Expert Reply
Please sir
1) follow the rules for posting https://gre.myprepclub.com/forum/rules-for ... -1083.html
2) post the question under the right sub-forum: if it is a QCQ must goes under QCQ sub-forum NOT quant general
3) Give the proper title to the question. Turns out, must be the words of the stem
4) set properly the timer with the OA here how to do https://gre.myprepclub.com/forum/how-to-po ... 12752.html
ask if something is unclear or you do need help
regards
1) follow the rules for posting https://gre.myprepclub.com/forum/rules-for ... -1083.html
2) post the question under the right sub-forum: if it is a QCQ must goes under QCQ sub-forum NOT quant general
3) Give the proper title to the question. Turns out, must be the words of the stem
4) set properly the timer with the OA here how to do https://gre.myprepclub.com/forum/how-to-po ... 12752.html
ask if something is unclear or you do need help
regards
