由1,3,5,…,2n-1,…构成数列{an},数列{bn}满足b1=2,当n≥2时,bn=abn−1,则b5等于(  ) A.17 B.15 C.33 D.63

问题描述:

由1,3,5,…,2n-1,…构成数列{an},数列{bn}满足b1=2,当n≥2时,bnabn−1,则b5等于(  )
A. 17
B. 15
C. 33
D. 63

根据题意,得b2=ab1=a2=3,
b3=ab2=a3=5,
b4=ab3=a5=9,
b5=ab4=a9=17,
故选A