问题 填空题 等差数列前m项和是30,前2m项和是100,则它的前3m项和是______. 答案 依题意,Sm,S2m-Sm,S3m-S2m成等差数列.即30,70,S3m-100成等差数列.∴30+S3m-100=2×70∴Sm=210.