Bill stood outside the mall and asked every fourth person to enter the mall for their favorite sport. There were four choices: football,
baseball, basketball, and other. Bill surveyed a total of 51 people of those surveyed, 13 said football is their favorite,
14 said baseball is their favorite, 12 said basketball is their favorite, and 12 said other
What type of sampling is demonstrated in the situation above?

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

the answer is a

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