问题
填空题
数列{an}是公差不为0的等差数列,且a2+a6=a8,则
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答案
设等差数列{an}的首项为a1,公差为d,
由a2+a6=a8,得a1+d+a1+5d=a1+7d,
即a1=d,
所以
=S5 a5
=5a1+ 5×(5-1)d 2 a1+4d
=5a1+10d a1+4d
=3.15d 5d
故答案为3.
数列{an}是公差不为0的等差数列,且a2+a6=a8,则
|
设等差数列{an}的首项为a1,公差为d,
由a2+a6=a8,得a1+d+a1+5d=a1+7d,
即a1=d,
所以
=S5 a5
=5a1+ 5×(5-1)d 2 a1+4d
=5a1+10d a1+4d
=3.15d 5d
故答案为3.