设等差数列an,的前n项和为Sn,a2+a4=6,求S5

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设等差数列an,的前n项和为Sn,a2+a4=6,求S5

设等差数列an,的前n项和为Sn,a2+a4=6,求S5
设等差数列an,的前n项和为Sn,a2+a4=6,求S5

设等差数列an,的前n项和为Sn,a2+a4=6,求S5
a1+a3+a5=sm;a2+a4=sn=6;
sn=a1+d+a1+3d=6,a1+2d=3
sm=a1+a1+2d+a1+4d=3(a1+2d)=3*3=9
s5=sm+sn=9+6=15