设数列an满足a1=2,an+1=3n-2(n为正整数)求(1)an+1-1除以an-1是多少,(2)求数列an的通项

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设数列an满足a1=2,an+1=3n-2(n为正整数)求(1)an+1-1除以an-1是多少,(2)求数列an的通项
设数列an满足a1=2,an+1=3n-2(n为正整数)求(1)an+1-1除以an-1是多少,(2)求数列an的通项

设数列an满足a1=2,an+1=3n-2(n为正整数)求(1)an+1-1除以an-1是多少,(2)求数列an的通项
a(n+1)=3n-2
=3n-3+1
=3(n-1)+1
所以a(n+1)-1=3(n-1)
a(n)-1=3(n-2)
所以a(n+1)-1/a(n)-1=(n-1)/(n-2)
当n=2时,由a1=2,a(n+1)=3n-2可知a2=4
所以an的通项为
an=2,n=1;
an=4,n=2;
an=3(n-2),n>2;

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