It is known that the general term formula of sequence an is an = 2N-1, and the sum of the first n terms of sequence BN is TN and satisfies TN = 1-b The general term formula of BN

It is known that the general term formula of sequence an is an = 2N-1, and the sum of the first n terms of sequence BN is TN and satisfies TN = 1-b The general term formula of BN

When B in the formula TN = 1-B is BN,
When n = 1, ∵ B1 = T1 = 1-b1, ∵ B1 = 1 / 2
When n ≥ 2, ∵ TN = 1-bn, ∵ TN-1 = 1-bn-1,
By subtracting the two formulas, BN = B (n-1) - BN, that is, BN = 1 / 2B (n-1)
So the first term and the common ratio of {BN} are 1 / 2
The number sequence of equal proportion of,
∴bn=(1/2)^n