题目内容
数列-1,4,-7,10,…,(-1)n(3n-2)的前n项和为Sn,则S11+S20=( )
| A.-16 | B.30 | C.28 | D.14 |
S11=(-1+4)+(-7+10)+…-(3×11-2)=5×3-31=-16,
S20═(-1+4)+(-7+10)+…+[-(3×19-2)+(3×20-2)]=10×3=30,
所以S11+S20=14,
故选D.
S20═(-1+4)+(-7+10)+…+[-(3×19-2)+(3×20-2)]=10×3=30,
所以S11+S20=14,
故选D.
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