已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=

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已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=已知数列

已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=
已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=

已知数列{an}满足anan-1=an-1+(-1)n次方(n≥2),且a1=1,则a5/a3=
an*a(n-1)=a(n-1)+(-1)^n
an=1+(-1)^n/a(n-1)
a1=1
a2=1+1/1=2
a3=1-1/2=1/2
a4=1+1/1/2=3
a5=1-1/3=2/3
a5/a3=(2/3)/(1/2)=4/3
或者:
an*a(n-1)=a(n-1)+(-1)^n
a(n+1)*an=an+(-1)^(n+1)
相除,a(n+1)/a(n-1)=an+(-1)^(n+1) / a(n-1)+(-1)^n
带n=4就行

an*a(n-1)=a(n-1)+(-1)^n
an=1+(-1)^n/a(n-1)
a1=1
a2=1+1/1=2
a3=1-1/2=1/2
a4=1+1/1/2=3
a5=1-1/3=2/3
a5/a3=(2/3)/(1/2)=4/3

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