19. A ball dropped from a height of 500 meters. the table shows. the height of each ball bounce .Write a rule to represent the height of the ball after each bounce. How high does the ball bounce on the 6th bounce?

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

true !

step-by-step explanation:

, 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