While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. the ball is located at (5,4) and the hole is located at (9,8). the point where the ball hits the wall is (7,0). write an equation for the path of the ball and then determine if you will make your putt.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the answer is 13 cm