Algebra Examples

$t_{n} = 2 n^{2} - n$

Step 1

Substitute in the value of $n$ to find the $n$ th term.

$t_{3} = 2 {(3)}^{2} - (3)$

Step 2

Simplify each term.

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Step 2.1

Raise $3$ to the power of $2$ .

$t_{3} = 2 \cdot 9 - (3)$

Step 2.2

Multiply $2$ by $9$ .

$t_{3} = 18 - (3)$

Step 2.3

Multiply $- 1$ by $3$ .

$t_{3} = 18 - 3$

Step 3

Subtract $3$ from $18$ .

$t_{3} = 15$