A sample of male and female smartphone users were asked to name their favorite type of app from the list below. type of app

# of female users

sports

120

cooking

540

shopping

695

games

200

type of app

# of male users

sports

675

cooking

115

shopping

85

games

680

Prediction:

, 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

step-by-step explanation:

for the free

15: 24

62.5%

step-by-step explanation: