在等差数列an中 已知a2+a4+a6=12 a3a5=7 求a8
在等差数列an中 ,已知a2+a4+a6=12 ,a3a5=7 ,求a8,
人气:334 ℃ 时间:2019-12-29 15:31:31
解答
a2+a4+a6=3a4=12 所以a4=4设等差为d,a3=a4-da5=a4+d
a3a5=(a4-d)(a4+d)=16-d*d=7 所以d=3或者-3
d=3时
a4=a1+3da1=a4-3d=4-9=-5
所以a8=a1+7d=-5+3*7=16
d=-3时
a4=a1+3d a1=a4-3d=4+9=13
a8=a1+7d=13-21=-8
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