第3题怎么做,高一数学大神求解
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a1=1
Sn = [(n+2)/3]an
for n>=2
an = Sn -S(n-1)
= [(n+2)/3]an - [(n+1)/3]a(n-1)
(n-1)an =(n+1)a(n-1)
an/a(n-1) = (n+1)/(n-1)
an/a1 = n(n+1)/2
an= n(n+1)/2
Sn = [(n+2)/3]an
for n>=2
an = Sn -S(n-1)
= [(n+2)/3]an - [(n+1)/3]a(n-1)
(n-1)an =(n+1)a(n-1)
an/a(n-1) = (n+1)/(n-1)
an/a1 = n(n+1)/2
an= n(n+1)/2
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