∫Tn is the product of the first n terms of the sequence {an}.

∴an=Tn/Tn- 1 ①

It is also known that Tn= 1-an,

∴an= 1-Tn ②

At the same time ①② Tn/Tn- 1= 1-Tn.

TN =[(TN- 1)+ 1]/TN- 1。

Reciprocal reciprocal:1/TN =1/TN-1+1.

Yizhi T 1=a 1

∫Tn = 1-an

∴T 1= 1-a 1

∴T 1= 1-T 1

∴T 1= 1/2

∴{ 1/Tn} is an arithmetic series with the first term of 2 and the tolerance is 1.

∫cn = 1/Tn .

∴{cn} is an arithmetic series with the first term of 2, and the tolerance is 1.

∴ 1/Tn = n+ 1

∫Tn = 1-an

∴ 1/Tn= 1/ 1-an

∴n+ 1= 1/ 1-an

∴an=n/n+ 1

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