Discrete - math induction that i don't understand | Mathematics | Page 1

shadow lion Oct 28, 2022, 12:12 PM

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can some one help me understand why the answer is b

late martenBOT Oct 28, 2022, 12:12 PM

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analog fjord Oct 28, 2022, 12:30 PM

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1  +3  +5  +7  +9 +11     seq
1   2   3   4   5   6       k
1   4   9  16  25  36   left(k)
11 14  19  26  35  46  right(k)

so if u look at the table you can see that T(k) [left(k) = right(k)] is false for any positive k (there's always a constant +10 added, so if the right hand side was k^2 the statement would be true)

https://i.imgur.com/20jvoUw.png

this also shows that (a), (c) and (d) must be wrong

Imgur

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false implies false is true

#Discrete - math induction that i don't understand