Algebra Examples

$a_{n} = a_{1} + (n - 1) d$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a_{n} = a_{1} + n d - 1 d$

Step 1.2

Rewrite $- 1 d$ as $- d$ .

$a_{n} = a_{1} + n d - d$

$a_{n} = a_{1} + n d - d$

Step 2

Simplify with commuting.

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Step 2.1

Reorder $n$ and $d$ .

$a_{n} = a_{1} + d n - d$

Step 2.2

Reorder $a_{1}$ and $d n$ .

$a_{n} = d n + a_{1} - d$

$a_{n} = d n + a_{1} - d$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$