题目内容
已知Sn是等差数列{an}的前n项和,且S11=35+S6,则S17的值为A.1 B.118 C.119 D.120
C 设等差数列{an}的首项为a1,公差为d,由S11=35+S6,得
11a1+
d=35+6a1+
d,化简,得a1+8d=7.∴S17=17a1+
d=17(a1+8d)=17×7=119.
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题目内容
已知Sn是等差数列{an}的前n项和,且S11=35+S6,则S17的值为A.1 B.118 C.119 D.120
C 设等差数列{an}的首项为a1,公差为d,由S11=35+S6,得
11a1+
d=35+6a1+
d,化简,得a1+8d=7.∴S17=17a1+
d=17(a1+8d)=17×7=119.