3. Induction is a variant of induction, in which we assume that the statement holds for all the values preceding k.

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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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DS1 Mathematical Induction No. 3-5

3.
Induction is a variant of induction, in which we assume that the statement holds for all
the values preceding k.
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:3. Induction is a variant of induction, in which we assume that the statement holds for all the values preceding k. 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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