5, 8, 11, 14, 17 Which function can be used to find the xth number in this sequence? A) f (x) = 5x + 2 B) f (x) = 2x + 3 C) f (x) = 3x + 5 D) f (x) = 3x + 2

C

Step-by-step explanation:

This sequence is arithmetic as it constantly increases by an additive change. Each number becomes the next by adding 3.

5 + 3 = 8

8 + 3 = 11

etc.

Because it is arithmetic, its equation has the form of a linear equation y = mx + b where m is the slope and b is the y-intercept. The constant change is the slope so m = 3. The starting value is b so b = 5. This means the equation is y = 3x + 5.