Directions: Write a recursive rule and an explicit rule for each arithmetic sequence. 86, 101, 116, 131, 146,...

112, 110, 108, 106, 104,...

7

Step-by-step explanation:

Explanation of

f(x) = 2x + 1     for       x ≥ 3

f(x) = 3x - 3     for       x < 3

when the x in f (x) is greater than or equal to 3 we use the equation 2x + 1

When the x in f (x) is less than 3 we use the equation 3x - 3

we want to find f ( 3 )

because x is greater equal to 3 we use the equation 2x + 1

so to find f ( 3 ) we simply plug in the value of x into the equation

f ( 3 ) = 2(3) + 1

multiply

f ( 3 ) = 6 + 1

add

f ( 3 ) = 7