Find Three Ordered Pair Solutions A(n)=-3+(n-1)(-2.2)

$A (n) = - 3 + (n - 1) (- 2.2)$

Step 1

Write $A (n) = - 3 + (n - 1) (- 2.2)$ as an equation.

$y = - 3 + (n - 1) (- 2.2)$

Step 2

Solve the equation for $y$ .

Multiply $n - 1$ by $- 2.2$ .

$y = - 3 + (n - 1) \cdot - 2.2$

Simplify $- 3 + (n - 1) \cdot - 2.2$ .

Simplify each term.

Apply the distributive property.

$y = - 3 + n \cdot - 2.2 - 1 \cdot - 2.2$

Move $- 2.2$ to the left of $n$ .

$y = - 3 - 2.2 \cdot n - 1 \cdot - 2.2$

Multiply $- 1$ by $- 2.2$ .

$y = - 3 - 2.2 n + 2.2$

Add $- 3$ and $2.2$ .

$y = - 2.2 n - 0.8$

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.

$y = - 2.2 \cdot 0 - 0.8$

Simplify $- 2.2 \cdot 0 - 0.8$ .

Multiply $- 2.2$ by $0$ .

$y = 0 - 0.8$

Subtract $0.8$ from $0$ .

$y = - 0.8$

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

$(0, - 0.8)$

Step 5

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

Remove parentheses.

$y = - 2.2 \cdot 1 - 0.8$

Simplify $- 2.2 \cdot 1 - 0.8$ .

Multiply $- 2.2$ by $1$ .

$y = - 2.2 - 0.8$

Subtract $0.8$ from $- 2.2$ .

$y = - 3$

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

$(1, - 3)$

Step 6

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

Remove parentheses.

$y = - 2.2 \cdot 2 - 0.8$

Simplify $- 2.2 \cdot 2 - 0.8$ .

Multiply $- 2.2$ by $2$ .

$y = - 4.4 - 0.8$

Subtract $0.8$ from $- 4.4$ .

$y = - 5.2$

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

$(2, - 5.2)$

Step 7

These are three possible solutions to the equation.

$(0, - 0.8), (1, - 3), (2, - 5.2)$

Step 8

Find Three Ordered Pair Solutions A(n)=-3+(n-1)(-2.2)

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