And x 1, x2 is the fixed point of f(x), and the sequence an satisfies the recursive relation an=f(a(n- 1)).

(I) if x 1≠x2, the sequence {(an-x 1)/(an-x2)}

Is a geometric series whose common ratio is (a-x 1c)/(a-x2c);

(ii) x 1 = x2 = x0, then the sequence {1/(an-x0)} is a arithmetic progression with an error of 2c/(a+d).

1/(an- 1)= 1/(a 1- 1)+(n- 1)×2c/(a+d)

A=3, b=- 1, c= 1, d= 1, a 1=2, and substitute1(an-1) =1.

=[2+(n- 1)]/2 =( 1+n)/2

an- 1=2/( 1+n)

an = 1+2/( 1+n)=(3+n)/( 1+n)

a 1 =(3+ 1)/( 1+ 1)= 4/2 = 2

a2=(3+2)/( 1+2)=5/3，=(3×2- 1)/(2+ 1)= 5/3√

a3=(3+3)/( 1+3)=6/4=3/2，(3×5/3- 1)(5/3+ 1)= 4/(8/3)= 3/2√

Extended data:

Inverse operation with root as power, including square root, square root or n power. For example, if the square of 2 is 4, the square of 4 is 2, the cube of 2 is 8, the square of 8 is 2, the fifth power of 2 is 32, and the square root of 32 is 2. The process of prescribing medicine like this is called rooting, and it should be understood this way.

I should have seen the symbol that looks like a division symbol, but the tail is hooked, which is a root symbol. This is usually used to indicate a prescription. If 8 is opened, 8 is written in the symbol and 3 is written in the upper left corner. The result is 2. Also, you don't need to write that small 2 when squaring.

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