问题标题:
设数列{an}:a0=2,a1=16,an+2=16an+1-63an,n∈N*,则a2005被64除的余数为()A.0B.2C.16D.48
问题描述:
设数列{an}:a0=2,a1=16,an+2=16an+1-63an,n∈N*,则a2005被64除的余数为()
A.0
B.2
C.16
D.48
鲁强回答:
∵an+2=16an+1-63an,∴an+2-7an+1=9an+1-63an,或an+2-9an+1=7an+1-63an即an+2-7an+1=9(an+1-7an),或an+2-9an+1=7(an+1-9an),又∵a0=2,a1=16,∴{an-7an-1}是首项为2,公比为9的等比数列,{an-9an-1}是首项...
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