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i don't like the definition of a fractional number as "non-integer reals" in math definitions section. A fractional number is a rational number defined as a ratio of an integer and a positive integer. for example, 1/3 or -5/4. Irrational numbers such as sqrt(2) are also real but not rational.
1.For any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms. For example, the sum of 1, 2, and 3 (three consecutives -- an odd number) is 6, which is a multiple of 3.
2.For any set of consecutive integers with an even number of terms, the sum of the integers is never a multiple of the number of terms. For example, the sum of 1, 2, 3, and 4 (four consecutives -- an even number) is 10, which is not a multiple of 4.
1.For any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms. For example, the sum of 1, 2, and 3 (three consecutives -- an odd number) is 6, which is a multiple of 3.
2.For any set of consecutive integers with an even number of terms, the sum of the integers is never a multiple of the number of terms. For example, the sum of 1, 2, 3, and 4 (four consecutives -- an even number) is 10, which is not a multiple of 4.
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Thank you, Walker. +1. I'll add the info to the appropriate Study Guide page.
If you don't have enough time to study wiki you can just copy-paste the info you find useful to a wiki page and we would eventually revise the format of an article.
1.For any set of consecutive integers with an odd number of terms, the sum of the integers is always a multiple of the number of terms. For example, the sum of 1, 2, and 3 (three consecutives -- an odd number) is 6, which is a multiple of 3.
2.For any set of consecutive integers with an even number of terms, the sum of the integers is never a multiple of the number of terms. For example, the sum of 1, 2, 3, and 4 (four consecutives -- an even number) is 10, which is not a multiple of 4.
Thank you, Walker. +1. I'll add the info to the appropriate Study Guide page.
If you don't have enough time to study wiki you can just copy-paste the info you find useful to a wiki page and we would eventually revise the format of an article.
Thanks for helping!
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Hay I am planning to take GMAT Test, could you guys help me
You might check out the "Verbal" and "Math" forums for many valuable posts by our members. As a new user you should also take our free tests available at https://gmatclub.com/tests (m25 and v06 sets). Please look through posts in the "GMAT" forum and post any questions you have regarding the GMAT in there.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.