Algebra Examples

$3 n^{2} - 1$

Step 1

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

$a_{1} = 3 {(1)}^{2} - 1$

Step 2

Simplify each term.

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Step 2.1

One to any power is one.

$a_{1} = 3 \cdot 1 - 1$

Step 2.2

Multiply $3$ by $1$ .

$a_{1} = 3 - 1$

Step 3

Subtract $1$ from $3$ .

$a_{1} = 2$