急,在数列{an}中,已知a1=2,a(n+1)= (2an-1)/(an+4),bn=1/(an+1) 求证:{bn}
2个回答
a(n+1)+1 = 3(an+1)/(an+4)
=>
1/b(n+1) = 3/bn / (1/bn + 3) = 3/(3bn + 1)
=>
b(n+1)= bn + 1/3
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