By Jean Pierre Serre

ISBN-10: 0387900403

ISBN-13: 9780387900407

Jean-Pierre Serre is Professor on the Collège de France. He has written a few books, together with "Algebraic teams and sophistication Fields", "Local Fields", "Complex Semisimple Lie Algebras", "Linear Representations of Finite Groups", accumulated Papers (3 volumes), and "Trees" released through Springer-Verlag.

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**Additional resources for A Course in Arithmetic (Graduate Texts in Mathematics, Volume 7)**

**Example text**

2. 3. 5. 6. 7. 9. 10. 11. 12. 13. 14. Across 2. 5. 6. 9. 10. 13. 14. Down 123 1. 2. 3. 4. 7. 11. 12. 13. 52 22 + 32 23 42 − 22 33 − 22 114 153 53 92 292 73 52 − 22 412 53 − 102 − 22 4 Complete the following number patterns to find the answer to the riddle: What do you get when you cross a hedgehog with a worm? A 4, 7, 10, 13, ____ D 1, 3, 6, 10, ____ I 2, 4, 8, 16, ____ Q 2, 6, 13, 23, ____ U 5, 25, 125, 625, ____ B 17, 34, 51, ____ E −9, −1, 8, 18, ____ L −1, −5, −12, −22, ____ R 1, 8, 27, 64, ____ W 4, 16, 64, 256, ____ _____ 68 _____ 16 _____ 125 _____ 68 _____ 1024 _____ 32 _____ 125 _____ 29 _____ 29 _____ 15 Chapter 2 Number Patterns 51 Applications Pascal’s Triangle Blaise Pascal was a French mathematician who investigated an arrangement of numbers that is now known as Pascal’s Triangle.

The lowest common multiple of 6 and 9 is 18. 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 9, 18, 27, 36, 45, 54, 63 Exercise 2B 1 For each number below, list all multiples which are less than 100: a 6 b 7 c 8 d 9 e 10 2 For each number below, list all multiples which are less than 50: a 2 b 3 c 4 d 5 3 List the multiples of 11 between 40 and 80. 4 List the multiples of 12 between 140 and 200. 5 List the common multiples and then state the lowest common multiple of the following: a 2 and 5 b 3 and 4 c 7 and 9 d 6 and 7 e 6 and 8 f 6 and 10 6 Find the lowest common multiple of the following: a 2, 5 and 10 b 3, 4 and 5 c 6, 8 and 9 7 Sarah and Emily ride their bicycles around a track.

5 Keiko has three sections of hose to use in her garden’s automatic watering system. The hoses are 4 metres, 6 metres and 10 metres in length. She wishes to cut the hoses into equal lengths each as long as possible without having any offcuts. a How long would each piece of hose be? b How many pieces of hose will Keiko have for her garden? 6 Mr Chan has 24 students in his class whom he wishes to work with in groups. How many students would be in each group if all groups have the same number of students and no students are left out?

### A Course in Arithmetic (Graduate Texts in Mathematics, Volume 7) by Jean Pierre Serre

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