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Real analysis

Let y1=1,and for each n belong to N define y_n+1=(3y_n+4)/4.
a-Use induction to prove that the sequence satisfies y_n<4for all n
belong to N.
b-use another induction argument to show the sequence(y1,y2,y3,...)is

Solution Summary

There are two induction proofs in this solution regarding sequences.