Prove the financial mathematics identity: (1/i) + (S'/((1+S')ⁿ − 1)) = (1 − PV)/i, given S' = i.

This problem asks to prove an identity in financial mathematics. Based on the image, we need to prove that the expression on the left, which appears to be a "dual rate" formula, is equal to the expression on the right, which is a "single rate" formula.

Let's interpret the expressions from the image:
Left Hand Side (LHS):

$$\frac{1}{i} + \frac{S'}{(1+S')^n - 1}$$

Right Hand Side (RHS):

$$\frac{1 - PV}{i}$$

The previous question established $S' = i$. Let's apply this assumption here.
Also, in financial mathematics, the present value of an ordinary annuity