a1=S1=1/4+2/3+3=47/12
当n>=2时,
an=Sn-S(n-1)
=(1/4n²+2/3n+3)-[1/4(n-1)²+2/3(n-1)+3]
=1/4n²+2/3n+3-(1/4n²-1/2n+1/4+2/3n-2/3+3)
=1/2n-1/4+2/3
=1/2n+5/12
a1=S1=1/4+2/3+3=47/12
当n>=2时,
an=Sn-S(n-1)
=(1/4n²+2/3n+3)-[1/4(n-1)²+2/3(n-1)+3]
=1/4n²+2/3n+3-(1/4n²-1/2n+1/4+2/3n-2/3+3)
=1/2n-1/4+2/3
=1/2n+5/12