2014山东高考数学理科第19题:已知等差数列an的公差为2,前n项和为sn,且s1,s2,s4成等比数列

解bn=(-1)^(n-1)*4n/an*a(n+1)

=(-1)^(n-1)*4n/(2n-1)*(2n+1)

=(-1)^(n-1)*[((2n+1)+(2n-1))/(2n-1)*(2n+1)]

=(-1)^(n-1)*[(2n+1)/(2n-1)*(2n+1)+(2n-1)/(2n-1)*(2n+1)]

=(-1)^(n-1)*[1/(2n-1)+1/(2n+1)]