3. Show that 13" – 7ª is divisible by 6 for n > 1.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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number 3 4 and 5 please
![1. Prove that 7" – 1 is divisible by 6 for all n2 1.
2. Prove that n –n is divisible by 3 for every positive integer n. Use mathematical induction.
3. Show that 13" – 7ª is divisible by 6 for n > 1.
4. Show that 10n+2+ 10" +1 is divisible by 3 for all n2 1.
5. Prove: 4" -1 is divisible by 3, for all n> 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faba31a81-9649-4cd9-8404-baa278a33196%2F974eef90-3637-4f1a-bd6f-ff2eda3e2ade%2Fw2d7uon_processed.png&w=3840&q=75)
Transcribed Image Text:1. Prove that 7" – 1 is divisible by 6 for all n2 1.
2. Prove that n –n is divisible by 3 for every positive integer n. Use mathematical induction.
3. Show that 13" – 7ª is divisible by 6 for n > 1.
4. Show that 10n+2+ 10" +1 is divisible by 3 for all n2 1.
5. Prove: 4" -1 is divisible by 3, for all n> 1.
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