Concept explainers
a. If you add 2 consecutive counting numbers (such as 47, 48), will the resulting sum always, sometimes, or never be divisible by 2? Explain why your answer is true.
b. If you add 3 consecutive counting numbers (such as 47, 48, 49), will the resulting sum always, sometimes, or never be divisible by 3? Explain why your answer is true.
c. If you add 4 consecutive counting numbers (such as 47, 48, 49, 50), will the resulting sum always, sometimes, or never be divisible by 4? Explain why your answer is true.
d. If you add 5 consecutive counting numbers (such as 47, 48, 49, 50, 51), will the resulting sum always, sometimes, or never be divisible by 5? Explain why your answer is true.
e. If you add N consecutive counting numbers, will the resulting sum always, sometimes, or never be divisible by N? Explain why your answer is true.
Trending nowThis is a popular solution!
Chapter 8 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Additional Math Textbook Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
- In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends.arrow_forwardHow many distinguishable words can be formed from the letters of the word casserole if each letter is used exactly once?arrow_forwardHow many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning