设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?
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设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?设等差数列an的前n项和为Sn,若Sn=3,S3n=15
设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?
设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?
设等差数列an的前n项和为Sn,若Sn=3,S3n=15,则S5n等于?
n是项数,d是公差
Sn=3,S2n=2Sn+dn^2,S3n=3Sn+3dn^2,S4n=4Sn+6dn^2,S5n=5Sn+10dn^2.
因为S3n=15=3Sn+3dn^2,dn^2=2
S5n=5Sn+10dn^2=5×3+10×2=35
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