Is there any other solution besides the standard answer to the second question of the last math problem in the national college entrance examination in 2007?

Haha, of course there is!

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.