Solve C_{n}=C_{0}*(1+i)^n

$$C _ { n } = C _ { 0 } \cdot ( 1 + i ) ^ { n }$$

Solve for C_0

$$C_{0}=\frac{C_{n}}{\left(1+i\right)^{n}}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$C_{0}\left(1+i\right)^{n}=C_{n}$$

The equation is in standard form.

$$\left(1+i\right)^{n}C_{0}=C_{n}$$

Divide both sides by \left(1+i\right)^{n}.

$$\frac{\left(1+i\right)^{n}C_{0}}{\left(1+i\right)^{n}}=\frac{C_{n}}{\left(1+i\right)^{n}}$$

Dividing by \left(1+i\right)^{n} undoes the multiplication by \left(1+i\right)^{n}.

$$C_{0}=\frac{C_{n}}{\left(1+i\right)^{n}}$$

Solve for C_n

$$C_{n}=C_{0}\left(1+i\right)^{n}$$