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 Kinroh April 9th, 2015 10:18 AM

induction

I am not sure what constitutes as a proof by induction for the problem such as:

an+1= (an+6)/2 , n=1,2... a1=2

show that an <6 for all n

 v8archie April 9th, 2015 11:09 AM

$a_1= 2 \lt 6$
Assume $a_n \lt 6$
Then $a_{n+1} = {a_n + 6 \over 2} \lt {6 + 6 \over 2} = 6$.

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