This topic examines the recursive formula of series, the general term of series, mathematical induction and students' ability to analyze and solve problems. It's not difficult. Although the topic is not long, there are many knowledge points examined, which are still relatively comprehensive. And put it at the back of the test paper. Here are the answers. Think it over, I'm sure you'll understand.

Here are the answers/exercises/math /804635A 1 = 1, an+ 1= radical sign {(an) 2? 2an+2+b}(n∈N*)

(i) If b= 1, find the general formula of a2, a3 and the sequence {an};

(2) If b=- 1, ask: Is there a real number c that makes A2n < c < A2n+ 1 hold true for all n∈N* to prove your conclusion?