Calculus Examples

$a_{n} = \frac{{(- 1)}^{n - 1}}{5^{n}}$

Step 1

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

$a_{2} = \frac{{(- 1)}^{(2) - 1}}{5^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $1$ from $2$ .

$a_{2} = \frac{- 1}{5^{2}}$

Step 2.2

Evaluate the exponent.

$a_{2} = \frac{- 1}{5^{2}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $5$ to the power of $2$ .

$a_{2} = \frac{- 1}{25}$

Step 3.2

Move the negative in front of the fraction.

$a_{2} = - \frac{1}{25}$