已知Sn是等差数列{an}的前n项和,若S11=66,则a6=?
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已知Sn是等差数列{an}的前n项和,若S11=66,则a6=?
已知Sn是等差数列{an}的前n项和,若S11=66,则a6=?
已知Sn是等差数列{an}的前n项和,若S11=66,则a6=?
a1+a11=2a6
(a1+a11)*11/2=66
所以a6=6
S11=a1+a2+.....+a11=(a1+a11)+(a2+10)+.....(a5+a7)+a6=5*2*a6+a6=11a6=66
a6=66/11=6
S11=a1+a11+a2+a10+a3+a9+a4+a8+a5+a7+a6
=5*2a6+a6
=11a6
所以S11=11a6
a6=6
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