Solve b_{n}=a_{2}n-1

$$b _ { n } = a _ { 2 } n - 1$$

Solve for a_2

$$\left\{\begin{matrix}a_{2}=\frac{b_{n}+1}{n}\text{, }&n\neq 0\\a_{2}\in \mathrm{R}\text{, }&b_{n}=-1\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$a_{2}n-1=b_{n}$$

Add 1 to both sides.

$$a_{2}n=b_{n}+1$$

The equation is in standard form.

$$na_{2}=b_{n}+1$$

Divide both sides by n.

$$\frac{na_{2}}{n}=\frac{b_{n}+1}{n}$$

Dividing by n undoes the multiplication by n.

$$a_{2}=\frac{b_{n}+1}{n}$$

Solve for b_n

$$b_{n}=a_{2}n-1$$