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inductionI 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 |

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

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