A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let XXX represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics: The company is going to run a promotion where customers get \$2$2dollar sign, 2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let YYY represent their profit on a randomly selected pizza with this promotion.

answer: you have to send a photo of the question

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