Find Three Ordered Pair Solutions a(n)=1+(n-1)(-5.7)

$a (n) = 1 + (n - 1) (- 5.7)$

Step 1

Write $a (n) = 1 + (n - 1) (- 5.7)$ as an equation.

$y = 1 + (n - 1) (- 5.7)$

Step 2

Solve the equation for $y$ .

Multiply $n - 1$ by $- 5.7$ .

$y = 1 + (n - 1) \cdot - 5.7$

Simplify $1 + (n - 1) \cdot - 5.7$ .

Simplify each term.

Apply the distributive property.

$y = 1 + n \cdot - 5.7 - 1 \cdot - 5.7$

Move $- 5.7$ to the left of $n$ .

$y = 1 - 5.7 \cdot n - 1 \cdot - 5.7$

Multiply $- 1$ by $- 5.7$ .

$y = 1 - 5.7 n + 5.7$

Add $1$ and $5.7$ .

$y = - 5.7 n + 6.7$

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.

$y = - 5.7 \cdot 0 + 6.7$

Simplify $- 5.7 \cdot 0 + 6.7$ .

Multiply $- 5.7$ by $0$ .

$y = 0 + 6.7$

Add $0$ and $6.7$ .

$y = 6.7$

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

$(0, 6.7)$

Step 5

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

Remove parentheses.

$y = - 5.7 \cdot 1 + 6.7$

Simplify $- 5.7 \cdot 1 + 6.7$ .

Multiply $- 5.7$ by $1$ .

$y = - 5.7 + 6.7$

Add $- 5.7$ and $6.7$ .

$y = 1$

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

$(1, 1)$

Step 6

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

Remove parentheses.

$y = - 5.7 \cdot 2 + 6.7$

Simplify $- 5.7 \cdot 2 + 6.7$ .

Multiply $- 5.7$ by $2$ .

$y = - 11.4 + 6.7$

Add $- 11.4$ and $6.7$ .

$y = - 4.7$

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

$(2, - 4.7)$

Step 7

These are three possible solutions to the equation.

$(0, 6.7), (1, 1), (2, - 4.7)$

Step 8

Find Three Ordered Pair Solutions a(n)=1+(n-1)(-5.7)

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