Q#3: Show that if a an odd integer is, then a^2 has the form 8k + 1, for some k ∈ℤ. (20)

Name: Q#3: Show that if a an odd integer is, then a^2 has the form 8k + 1, for some k ∈ℤ. (20)
Uploaded: 2021-06-06T17:19:11-08:00
Duration: 4 min 37 s
Channel: P Krishnamurthy
Description: Q#3: Show that if a an odd integer is, then a^2 has the form 8k + 1, for some k ∈ℤ. (20)

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P Krishnamurthy · Accepted Answer

Step 1: Assume that a is an odd integer.

Question

Q#3: Show that if $a$ an odd integer is, then $a^2$ has the form $8k + 1$, for some $k \in \mathbb{Z}$. (20)

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