在数列{an}中,已知a1=2,a2=7,a(n+2)等于ana(n+1)(n∈正整数)则a2013的值是?
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a(n+2)为ana(n+1)的个位数字
a1=2,a2=7
a1*a2=14, ==>a3=4
a2*a3=28 ==>a4=8
a3*a4=32 ==> a5=2
a4*a5=16 ==>a6=6
a5*a6=12 ==>a7=2
a6*a7=12 ==>a8=2
a7*a8=4 ==>a9=4
a8*a9=8 ==>a10=8
a9*a10=32==>a11=2
..................................
n≥3后,an呈周期规律,周期为6
∵2013=335×6+3
∴a2013=a3=4
a1=2,a2=7
a1*a2=14, ==>a3=4
a2*a3=28 ==>a4=8
a3*a4=32 ==> a5=2
a4*a5=16 ==>a6=6
a5*a6=12 ==>a7=2
a6*a7=12 ==>a8=2
a7*a8=4 ==>a9=4
a8*a9=8 ==>a10=8
a9*a10=32==>a11=2
..................................
n≥3后,an呈周期规律,周期为6
∵2013=335×6+3
∴a2013=a3=4
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