4. Prove that given any integer for n, n3 + 2n will be divisible by 3. 5. Write the formal proof that 2"+2 + 32n+1 is divisible by 7 for all positive integers.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter11: Rational And Irrational Numbers
Section11.8: Adding And Subtracting Radicals
Problem 5E
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DS1 Mathematical Induction No. 4-5

4. Prove that given any integer for n, n3 + 2n will be divisible by 3.
5. Write the formal proof that 2"+2 + 32n+1 is divisible by 7 for all positive integers.
Transcribed Image Text:4. Prove that given any integer for n, n3 + 2n will be divisible by 3. 5. Write the formal proof that 2"+2 + 32n+1 is divisible by 7 for all positive integers.
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