How to solve a_{n} = 2/(n + 1)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve a_{n} = 2/(n + 1) | Equatix

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Question

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

Solve for n

$n=-1+\frac{2}{a_{n}}$
$a_{n}\neq 0$

Steps for Solving Linear Equation

Variable $n$ cannot be equal to $-1$ since division by zero is not defined. Multiply both sides of the equation by $n+1$.

$$a_{n}\left(n+1\right)=2$$

Use the distributive property to multiply $a_{n}$ by $n+1$.

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

Subtract $a_{n}$ from both sides.

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

Divide both sides by $a_{n}$.

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

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

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

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

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

Variable $n$ cannot be equal to $-1$.

$$n=-1+\frac{2}{a_{n}}\text{, }n\neq -1$$

Show Solution

Solve for a_n

$a_{n}=\frac{2}{n+1}$
$n\neq -1$

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Question

Solve for n

Steps for Solving Linear Equation

Solve for a_n