数学:9.1《数列》学案(湘教版必修4)
数学:9.1《数列》学案(湘教版必修4)第3页

         =-2n<0,

所以bn·bn+2<b,

解法二:(Ⅰ)同解法一.

(Ⅱ)因为b2=1,

bn·bn+2- b=(bn+1-2n)(bn+1+2n+1)- b

=2n+1·bn-1-2n·bn+1-2n·2n+1

  =2n(bn+1-2n+1)

  =2n(bn+2n-2n+1)

  =2n(bn-2n)

  =...

  =2n(b1-2)

  =-2n〈0,

所以bn-bn+2

w.w.w.302edu.c.o.m