Find Three Ordered Pair Solutions A(n)=-6+(n-1)(1/5)

$A (n) = - 6 + (n - 1) (\frac{1}{5})$

Step 1

Write $A (n) = - 6 + (n - 1) (\frac{1}{5})$ as an equation.

$y = - 6 + (n - 1) (\frac{1}{5})$

Step 2

Simplify $- 6 + (n - 1) (\frac{1}{5})$ .

Simplify each term.

Apply the distributive property.

$y = - 6 + n \frac{1}{5} - 1 (\frac{1}{5})$

Combine $n$ and $\frac{1}{5}$ .

$y = - 6 + \frac{n}{5} - 1 (\frac{1}{5})$

Rewrite $- 1 (\frac{1}{5})$ as $- (\frac{1}{5})$ .

$y = - 6 + \frac{n}{5} - \frac{1}{5}$

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = \frac{n}{5} - 6 \cdot \frac{5}{5} - \frac{1}{5}$

Combine $- 6$ and $\frac{5}{5}$ .

$y = \frac{n}{5} + \frac{- 6 \cdot 5}{5} - \frac{1}{5}$

Combine the numerators over the common denominator.

$y = \frac{n}{5} + \frac{- 6 \cdot 5 - 1}{5}$

Simplify the numerator.

Multiply $- 6$ by $5$ .

$y = \frac{n}{5} + \frac{- 30 - 1}{5}$

Subtract $1$ from $- 30$ .

$y = \frac{n}{5} + \frac{- 31}{5}$

Move the negative in front of the fraction.

$y = \frac{n}{5} - \frac{31}{5}$

Step 3

Choose any value for $n$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $n$ to find the ordered pair.

Remove parentheses.

$y = \frac{0}{5} - \frac{31}{5}$

Simplify $\frac{0}{5} - \frac{31}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{0 - 31}{5}$

Subtract $31$ from $0$ .

$y = \frac{- 31}{5}$

Move the negative in front of the fraction.

$y = - \frac{31}{5}$

Use the $n$ and $y$ values to form the ordered pair.

$(0, - \frac{31}{5})$

Step 5

Choose $1$ to substitute in for $n$ to find the ordered pair.

Remove parentheses.

$y = \frac{1}{5} - \frac{31}{5}$

Simplify $\frac{1}{5} - \frac{31}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{1 - 31}{5}$

Simplify the expression.

Subtract $31$ from $1$ .

$y = \frac{- 30}{5}$

Divide $- 30$ by $5$ .

$y = - 6$

Use the $n$ and $y$ values to form the ordered pair.

$(1, - 6)$

Step 6

Choose $2$ to substitute in for $n$ to find the ordered pair.

Remove parentheses.

$y = \frac{2}{5} - \frac{31}{5}$

Simplify $\frac{2}{5} - \frac{31}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{2 - 31}{5}$

Simplify the expression.

Subtract $31$ from $2$ .

$y = \frac{- 29}{5}$

Move the negative in front of the fraction.

$y = - \frac{29}{5}$

Use the $n$ and $y$ values to form the ordered pair.

$(2, - \frac{29}{5})$

Step 7

These are three possible solutions to the equation.

$(0, - \frac{31}{5}), (1, - 6), (2, - \frac{29}{5})$

Step 8

Find Three Ordered Pair Solutions A(n)=-6+(n-1)(1/5)

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