1.等差数列{an}中,S9 = 18,Sn-4 = 30(n>9).若Sn = 240,求n.
问题描述:
1.等差数列{an}中,S9 = 18,Sn-4 = 30(n>9).若Sn = 240,求n.
2.等差数列{an}中,S10=140,其中奇数项的和是125,求a6.
3.若等差数列{an}的前4项和为25,后4项和为63,前n项和为286,求n.
我对此很费解……
答
1.an=a+(n-1)dsn=na+n(n-1)d/2s9=9a+36d=18,a+4d=2,s(n-4)=(n-4)a+(n-4)(n-5)d/2=30sn=na+n(n-1)d/2=240,sn-s(n-4)=4a+(4n-10)d=240-30=2102a+(2n-5)d=1052(2-4d)+(2n-5)d=105(2n-13)d=101 d=101/(2n-13)a=2-4d=2-40...