设等差数列{an}的前n项和为Sn,且a1=2,a3=6,若Sk=110,求k的值.
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设等差数列{an}的前n项和为Sn,且a1=2,a3=6,若Sk=110,求k的值.
设等差数列{an}的前n项和为Sn,且a1=2,a3=6,若Sk=110,求k的值.
设等差数列{an}的前n项和为Sn,且a1=2,a3=6,若Sk=110,求k的值.
(1)a3=a1+2d
∴ 6=2+2d
∴ d=2
∴ 通项公式是an=a1+(n-1)d=2+2(n-1)=2n
(2)
∴ Sn=(2+2n)*n/2=n(n+1)
∴ Sk=k(k+1)=110=10*11
∴ k=10
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