#induction law

8 messages · Page 1 of 1 (latest)

wanton trout
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hello I am confused about the induction law, if we proved the validity of the statement for n = 1 and also for general n + 1 does that mean that we proved that the statement is true for all n?

leaden trailBOT
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dry berry
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for general n + 1
for general n+1 given n
otherwise you can directly prove

wanton trout
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so we prove the base n = 1 and then we assume it is true for n, to prove n + 1 . and if n + 1 is true we can validate the statement?

dry berry
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For all positive integers, yes

wanton trout
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Okiee, tysm 🙂

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+close