# 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

increasing.

https://brainmass.com/math/real-analysis/real-analysis-24871

#### Solution Summary

There are two induction proofs in this solution regarding sequences.

$2.19