等差数列sm=70,s2m=300,求s3m

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等差数列sm=70,s2m=300,求s3m

等差数列sm=70,s2m=300,求s3m
等差数列sm=70,s2m=300,求s3m

等差数列sm=70,s2m=300,求s3m
sm,s2m-sm,s3m-s2m成等差数列
sm=70,s2m-sm=300-70=230
s3m-s2m=2*(s2m-sm)-70=460-70=390
s3m=390+300=690

等差数列就是相隔两数之间相减的数字是完全相同的,所以叫等差数列;
所以:s2m-sm=s3m-s2m
300-70=s3m-300
s3m=530

设公差为d
sm=70
s2m=2*sm+m*d=300
得m*d=160
s3m=前m项+中间m项+后m项=sm+(sm+m*d)+(sm+2*m*d)=3*sm+3*m*d
=3*70+3*160=690