1)等差数列{an}中,a1=-32,a2=-29求数列{lanl}的前n项和2)等差数列{an}中,an-an-1=3n,a1=3,求{an}通向请各位帮帮忙!
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1)等差数列{an}中,a1=-32,a2=-29求数列{lanl}的前n项和2)等差数列{an}中,an-an-1=3n,a1=3,求{an}通向请各位帮帮忙!
1)等差数列{an}中,a1=-32,a2=-29求数列{lanl}的前n项和2)等差数列{an}中,an-an-1=3n,a1=3,求{an}通向
请各位帮帮忙!
1)等差数列{an}中,a1=-32,a2=-29求数列{lanl}的前n项和2)等差数列{an}中,an-an-1=3n,a1=3,求{an}通向请各位帮帮忙!
a2=a1+d
-29=-32+d
d=3
an=a1+(n-1)d
=-32+3(n-1)
=3n-35
an>0
3n-35>0
3n>35
n>35/3
即n=12时,an>0
a11=3*11-35=-2
a12=3*12-35=1
s11=(a1+a11)*11/2
=(-32-2)*11/2
=-17*11
=-187
ls11l=l-187l=187
sn-s11=(a12+an)*(n-11)/2
=(1+3n-35)*(n-1)/2
=(3n-34)(n-1)/2
=(3n^2-37n+34)/2
lsnl=sn-s11+ls11l
=(3n^2-37n+34)/2+187
=(3n^2-37n+408)/2
an-a(n-1)=3n
.
a3-a2=3*3
a2-a1=3*2
以上等式相加得
an-a1=3*2+3*3+.+3n
an-3=3*2+3*3+.+3n
an=3+3*2+3*3+.+3n
an=3*(1+2+3+...+n)
an=3n(n+1)/2
1)等差数列{an}中,a1=-32,a2=-29求数列{lanl}的前n项和2)等差数列{an}中,an-an-1=3n,a1=3,求{an}通向请各位帮帮忙!
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