For integers n >1, 2 3 1 + 2! n 1 1- 3! 4! (n+ 1)! (n + 1)!

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 18E
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please send step by step handwritten proof of Q13

Proposition 13. For integers n > 1,
1
2
3
n
1
1
-
-
-
2!
3!
4!
(n + 1)!
(n +1)!"
Hint: Try induction on n.
Proof.
Transcribed Image Text:Proposition 13. For integers n > 1, 1 2 3 n 1 1 - - - 2! 3! 4! (n + 1)! (n +1)!" Hint: Try induction on n. Proof.
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