知数列an是等差数列,Sm=10,S2m=30,S3m=?

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知数列an是等差数列,Sm=10,S2m=30,S3m=?

知数列an是等差数列,Sm=10,S2m=30,S3m=?
知数列an是等差数列,Sm=10,S2m=30,S3m=?

知数列an是等差数列,Sm=10,S2m=30,S3m=?
易知:Sm,S(2m)-Sm,S(3m)-S(2m)成等差数列.
所以2[S(2m)-Sm]=Sm+S(3m)-S(2m)
解得:S(3m)= 60