GMAT Exam  >  GMAT Questions  >  An infinite sequence begins as follows:1,2,&m... Start Learning for Free
An infinite sequence begins as follows:
1,2,−3,4,5,−6,7,8,−9...
Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?
  • a)
    3
  • b)
    0
  • c)
    1000
  • d)
    999
  • e)
    1001
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,&...
This can be seen as a sequence in which the Nth term is equal to N if N is not divisible by 3, and −N otherwise. Since 1,000 and 1,001 are not multiples of 3, but 1,002 is, the 1000th, 1001st, and 1002nd terms are, respectively,
1000,1001,−1002
and their sum is 
1000+1001+(−1002)=999
View all questions of this test
Most Upvoted Answer
An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,&...
Explanation:

Identifying the Pattern:
- The sequence alternates between positive integers and negative integers.
- The positive integers increase by 1 each time.
- The negative integers are the positive integers multiplied by -1.

Finding the 1000th, 1001st, and 1002nd Terms:
- The 1000th term is positive because it is an even term. It is the 500th positive integer, which is 500.
- The 1001st term is negative because it is an odd term. It is the 501st positive integer multiplied by -1, which is -501.
- The 1002nd term is positive because it is an even term. It is the 501st positive integer, which is 501.

Calculating the Sum:
- The sum of the 1000th, 1001st, and 1002nd terms is 500 + (-501) + 501 = 500 - 501 + 501 = 999.
Therefore, the sum of the 1000th, 1001st, and 1002nd terms is 999, which corresponds to option 'D'.
Explore Courses for GMAT exam

Similar GMAT Doubts

Top Courses for GMAT

An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer?
Question Description
An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer?.
Solutions for An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer?, a detailed solution for An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An infinite sequence begins as follows:1,2,−3,4,5,−6,7,8,−9...Assuming this pattern continues infinitely, what is the sum of the 1000th, 1001st and 1002nd terms?a)3b)0c)1000d)999e)1001Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev