Please teach me how to do the Question 2, especially the induction step.

Due by the end of Tutorial 2

Winter 2016

IMPORTANT:

? This exercise is worth 2% of your total mark in the course.

? You must work on this exercise in groups of two, and submit a single solution. Submissions completed

individually will NOT be marked.

? You and your group-mate must have been assigned to the same tutorial room. Also, you must submit

your solution to the TA who is teaching your tutorial section.

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if you are stuck. You may also ask them to comment on your answers, which you may then change

accordingly. 1. Use induction to prove that 32n ? 1 is divisible by 8, for all n ? N.

1

2. Assume x ? R and (x + x ) ? Z. Use induction to prove that for all n ? N (xn + 1 1

) ? Z.

xn

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Sep 13, 2020

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