等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?

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等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?S10-

等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?
等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?

等差数列{an}的前n项和为Sn,且S10-S5=3,S15=?
S10-S5
=10a1+10*9*d/2-(5a1+5*4*d/2)
=10a1+45d-5a1-10d
=5a1+35d
=5(a1+7d)=3
S15=15a1+15*14*d/2
=15(a1+7d)
=3*5(a1+7d)
=3*3=9

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