What is the linear function equation for the arithmetic sequence an=13+(n−1)(−2) (1 point) Responses y=13x−15 y is equal to 13 x minus 15 y=−2x+15 y is equal to negative 2 x plus 15 y=2x−15 y is equal to 2 x minus 15

Answer 1

To find the linear function equation for the arithmetic sequence given by \( a_n = 13 + (n-1)(-2) \), we can simplify this expression.

1. Start with the given equation: \[ a_n = 13 + (n-1)(-2) \]

2. Distribute \(-2\): \[ a_n = 13 - 2(n-1) = 13 - 2n + 2 \]

3. Combine like terms: \[ a_n = 15 - 2n \]

This can be rewritten as: \[ a_n = -2n + 15 \]

Now, to express it in the form \( y = mx + b \), we can identify \( m = -2 \) and \( b = 15 \).

Thus, the linear function equation is: \[ y = -2x + 15 \]

So, the correct response is: y = -2x + 15.