an=2an-1+n (n=2,3,.) (1)若{an}是等差数列,求{an}的通项公式
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an=2an-1+n (n=2,3,.) (1)若{an}是等差数列,求{an}的通项公式
an=2an-1+n (n=2,3,.) (1)若{an}是等差数列,求{an}的通项公式
an=2an-1+n (n=2,3,.) (1)若{an}是等差数列,求{an}的通项公式
a2=2a1+2
a3=2a2+3
a2-a1=a3-a2
a1+2=a2+3
a2-a1=-1
a1+2=-1
a1=-3
an=-3+3(n-1)
an+n+2=2(an-1+n-1+2)
a2=2a1+1 d=a1+1
a3=2a2+2 d=a2+2
相减 d=1 a1=0
a1+1+2=3
an+n+2=3*2^n-1
an=3*2^(n-1)-n-2
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