Solve a_{n}=7/n+2

$$a _ { n } = \frac { 7 } { n + 2 }$$

Solve for n

$$n=-2+\frac{7}{a_{n}}$$

$$a_{n}\neq 0$$

Steps for Solving Linear Equation

Variable n cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by n+2.

$$a_{n}\left(n+2\right)=7$$

Use the distributive property to multiply a_{n} by n+2.

$$a_{n}n+2a_{n}=7$$

Subtract 2a_{n} from both sides.

$$a_{n}n=7-2a_{n}$$

Divide both sides by a_{n}.

$$\frac{a_{n}n}{a_{n}}=\frac{7-2a_{n}}{a_{n}}$$

Dividing by a_{n} undoes the multiplication by a_{n}.

$$n=\frac{7-2a_{n}}{a_{n}}$$

Divide 7-2a_{n} by a_{n}.

$$n=-2+\frac{7}{a_{n}}$$

Variable n cannot be equal to -2.

$$n=-2+\frac{7}{a_{n}}\text{, }n\neq -2$$

Solve for a_n

$$a_{n}=\frac{7}{n+2}$$

$$n\neq -2$$