a1=s1=1^2+1=2
sn=n^2+1
s(n-1)=(n-1)^2+1=n^2-2n+2
sn-s(n-1)=2n-1
an=2n-1(n>=2)
a2=2*2-1=3
a3=2*3-1=5
a4=2*4-1=7
a5=2*5-1=9
an=Sn-S(n-1)=2n-1
an-a(n-1)=2 等差数列
a1=S1=1+1=2
a2=2*2-1=3
a3=2*3-1=5
a4=2*4-1=7
a5=2*5-1=9
a1=s1=1²+1=2,
a2=s2-a1=2²+1-2=3,
a3=s3-s2=3²+1-﹙2²+1﹚=5,
a4=s4-s3=4²+1-﹙3²+1﹚=7,
a5=s5-s4=5²+1-﹙4²+1﹚=9