Higher Algebra : a Sequel to Elementary Algebra for Schools
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In our eReader you can find the full English version of the book. Read Higher Algebra : a Sequel to Elementary Algebra for Schools Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Higher Algebra : a Sequel to Elementary Algebra for Schools
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To quickly assess the difficulty of the text, read a short excerpt:
Prove that 2 4 ' 1 - 1 is divisible by 15.
9. Prove that n (?i + 1) (n + 5) is a multiple of 6.
10. Shew that every number and its cube when divided by 6 leave the same remainder.
11. If n is even, shew that n (;i 2 + 20) is divisible by 48.
12. Shew that n (?i 2 - 1) (Sn + 2) is divisible by 24.
13. If n is greater than 2, shew that n 5 — 5n 3 -f 4?i is divisible by 120.
14. Prove that 3 2n + 7 is a multiple of 8.
15. If n is a prime number greater than 3, shew that ?i 2 - 1 is a multiple of 2...4.
16. Shew that n 5 — n is divisible by 30 for all values of n, and by 240 if n is odd.
17. Shew that the difference of the squares of any two prime numbers greater than 6 is divisible by 24.
18. Shew that no square number is of the form 3?i — 1.
19. Shew that every cube number is of the form 9?i or 9n±L THEORY OF NUMBERS. 349 20. Shew that if a cube number is divided by 7, the remainder is 0, 1 or 6.
21. If a number is both square and cube, shew that it is of the form 7n or 7?t+l.
22. Shew that no triangular number can be of the form 3u - 1.
What to read after Higher Algebra : a Sequel to Elementary Algebra for Schools?
You can find similar books in the "Read Also" column, or choose other free books by H S Henry Sinclair Hall to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Prove that 2 4 ' 1 - 1 is divisible by 15.
9. Prove that n (?i + 1) (n + 5) is a multiple of 6.
10. Shew that every number and its cube when divided by 6 leave the same remainder.
11. If n is even, shew that n (;i 2 + 20) is divisible by 48.
12. Shew that n (?i 2 - 1) (Sn + 2) is divisible by 24.
13. If n is greater than 2, shew that n 5 — 5n 3 -f 4?i is divisible by 120.
14. Prove that 3 2n + 7 is a multiple of 8.
15. If n is a prime number greater than 3, shew that ?i 2 - 1 is a multiple of 2...4.
16. Shew that n 5 — n is divisible by 30 for all values of n, and by 240 if n is odd.
17. Shew that the difference of the squares of any two prime numbers greater than 6 is divisible by 24.
18. Shew that no square number is of the form 3?i — 1.
19. Shew that every cube number is of the form 9?i or 9n±L THEORY OF NUMBERS. 349 20. Shew that if a cube number is divided by 7, the remainder is 0, 1 or 6.
21. If a number is both square and cube, shew that it is of the form 7n or 7?t+l.
22. Shew that no triangular number can be of the form 3u - 1.
What to read after Higher Algebra : a Sequel to Elementary Algebra for Schools?
You can find similar books in the "Read Also" column, or choose other free books by H S Henry Sinclair Hall to read onlineMoreLess
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