数列的问题
已知等差数列{an}的前n项和为100,前3m项和为-150,则它的前2m项和为?请你给大家给出详细解答波...
已知等差数列{an}的前n项和为100,前3m项和为-150,则它的前2m项和为?
请你给大家给出详细解答波 展开
请你给大家给出详细解答波 展开
1个回答
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S(M)=ma(1)+m*(m-1)*d/2
s(2m)=2ma(1)+2m*(2m-1)*d/2,
s(3m)=3ma(1)+3m(3m-1)*d/2
s(2m)-s(m)=ma(1)+(3m^2-m)*d/2
s(3m)-s(2m)=ma(1)+(5m^2-m)*d/2
S(M),s(2m)-s(m),s(3m)-s(2m)成等差数列
2s(2m)-2s(m)=s(m)+s(3m)-s(2m)
3s(2m)=3s(m)+s(3m)=300-150=150
s(2m)=50
s(2m)=2ma(1)+2m*(2m-1)*d/2,
s(3m)=3ma(1)+3m(3m-1)*d/2
s(2m)-s(m)=ma(1)+(3m^2-m)*d/2
s(3m)-s(2m)=ma(1)+(5m^2-m)*d/2
S(M),s(2m)-s(m),s(3m)-s(2m)成等差数列
2s(2m)-2s(m)=s(m)+s(3m)-s(2m)
3s(2m)=3s(m)+s(3m)=300-150=150
s(2m)=50
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