When n≥2, Sn =-(n- 1) 2+9 (n- 1).
Subtract the two expressions to get An=-2n+ 10(n≥2).
When n= 1, a 1=S 1=- 1? +9=8 applies to =-2n+ 10.
That is the general formula of the sequence {an} an=-2n+ 10.
Let an≥0, that is, n≤5, that is, bn=an=-2n+ 10.
That is, an < 0, that is, n > 5, that is, bn=-an=2n- 10.
Therefore, when n≤5, sn = b1+B2+...+bn = n/2 (b1+bn) = n/2 (8-2n+10) = n/2 (/kloc-0).
When n > 5, Sn = b1+B2+B3+B4+B5+B6+B7+...+BN.
=(b 1+B2+B3+B4+b5)+(B6+B7+....+bn)
=5*(9-5)+(n-5)/2(b6+bn)
=5*(9-5)+(n-5)/2(2+2n- 10)
=20+(n-5)(n-4)
=n? -9n+40