(Ⅰ)设{an}的公差为d,{bn}的公比为q,
则a2b2=(3+d)q=12,①
S3+b2=3a2+b2=3(3+d)+q=9+3d+q=20,即3d+q=11,
变形可得q=11-3d,②
代入①可得:(3+d)(11-d)=33+2d-3d2=12,
3d2-2d-21=0,
(3d+7)(d-3)=0,
又由{an}是单调递增的等差数列,有d>0.
则d=3,
q=11-3d=2,
an=3+(n-1)×3=3n,bn=2n-1…(6分)
(Ⅱ) cn=Sncos3nπ=
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3n(n+2) |
4 |
3(n?1)(n+1) |
4 |
3 |
2 |
3 |
2 |
3 |
4 |
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