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等差数列{a下标n}中,若a1005+a1006+a1007=6,则该数列前2011项的和为4022,

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等差数列{a下标n}中,若a1005+a1006+a1007=6,则该数列前2011项的和为4022,
等差数列{a下标n}中,若a1005+a1006+a1007=6,则该数列前2011项的和为4022,
a1005+a1006+a1007
=a1005+a1005+d+a1006+2d
=3a1005+3d=6
a1005+d=2
a1+1004d+d=2
a1+1005d=2
S2011
=2011a1+2011*2010*d/2
=2011a1+1005*2011d
=2011(a1+1005d)
=2011*2
=4022