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Sn=-n^2+10n
S(n-1)=-(n-1)^2+10(n-1)=-n^2+12n-11
Sn-S(n-1)=-n^2+10n-(-n^2+12n-11)
an=-n^2+10n+n^2-12n+11
an=-2n+11
an>0
-2n+11>0
2n<11
n<5.5
当n=5时,an>0
b1=∣a1∣=9
b5=∣a5∣=1
bn=∣an∣
bn=-2n+11 (n<=5)
bn=2n-11 (n>6)
Tn=S5+∣Sn-S5∣
=(1+9)*5/2+(1+2n-11)*(n-5)/2
=25+(n-5)^2
=n^2-10n+50
T10
=10^2-10*10+50
=50
S(n-1)=-(n-1)^2+10(n-1)=-n^2+12n-11
Sn-S(n-1)=-n^2+10n-(-n^2+12n-11)
an=-n^2+10n+n^2-12n+11
an=-2n+11
an>0
-2n+11>0
2n<11
n<5.5
当n=5时,an>0
b1=∣a1∣=9
b5=∣a5∣=1
bn=∣an∣
bn=-2n+11 (n<=5)
bn=2n-11 (n>6)
Tn=S5+∣Sn-S5∣
=(1+9)*5/2+(1+2n-11)*(n-5)/2
=25+(n-5)^2
=n^2-10n+50
T10
=10^2-10*10+50
=50
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