>>342
Sn-S[n-1]=1-An-(1-An[n-1])
      =1-An-1+A[n-1]
=A[n-1]-An
=a+{(n-1)-1}d-{a+(n-1)d}
=a+(n-2)d-(a+dn-d)
=a+dn-2d-a-dn+d
=-d