How to solve Un=a1+(n-1)r

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 Un=a1+(n-1)r | Equatix

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$$Un=a1+(n-1)r$$

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

Use the distributive property to multiply $n-1$ by $r$.

$$Un=a_{1}+nr-r$$

The equation is in standard form.

$$nU=nr-r+a_{1}$$

Divide both sides by $n$.

$$\frac{nU}{n}=\frac{nr-r+a_{1}}{n}$$

Dividing by $n$ undoes the multiplication by $n$.

$$U=\frac{nr-r+a_{1}}{n}$$

$a_{1}=Un-nr+r$