There are two views on this issue.
The general term of 1.Bn can be obtained by the following formula. Then zoom in and out to get the result.
2. It is also mathematical induction. It is proved that from k to K+ 1 Bn- radical 2 is not used.
Instead, use the Bn certificate directly.
Let me talk about this.
(1) It is obviously true when n = 1.
(2) Assume that N=K holds.
Then when N=K+ 1,
The function F(X)=(3X+4)/(2X+3) is in x >; Increment from 0
so(3 ^ 2+4)/(2 ^ 2+3)< Bn+ 1 =(3Bn+4)/(2Bn+3)& lt; =(3A4n- 1+4)/(2A4n- 1+3)
(3A4n- 1+4)/(2A4n- 1+3)= A4N+3
So when N=K+ 1 also holds.