Algebra Examples

$a_{n} = 2 \cdot {(\frac{1}{4})}^{n - 1}$

Step 1

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

$a_{2} = 2 \cdot {(\frac{1}{4})}^{(2) - 1}$

Step 2

Subtract $1$ from $2$ .

$a_{2} = 2 \cdot (\frac{1}{4})$

Step 3

Simplify.

$a_{2} = 2 \cdot \frac{1}{4}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $4$ .

$a_{2} = 2 \cdot \frac{1}{2 (2)}$

Step 4.2

Cancel the common factor.

$a_{2} = 2 \cdot \frac{1}{2 \cdot 2}$

Step 4.3

Rewrite the expression.

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