
1.已知数列{an}满足 a1=5/2, an=3an-1+1(?
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a1=5/2
an=3a(n-1) +1
an +1/2 =3[ a(n-1) + 1/2]
=> {an +1/2} 是等比数列, q=3
an +1/2 = 3^(n-1) . (a1 +1/2)
an +1/2 = 3^n
an =-1/2 +3^n
an=3a(n-1) +1
an +1/2 =3[ a(n-1) + 1/2]
=> {an +1/2} 是等比数列, q=3
an +1/2 = 3^(n-1) . (a1 +1/2)
an +1/2 = 3^n
an =-1/2 +3^n
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