Kara has a drawer full of t-shirts. The table shows the number of t-shirts of each color in the drawer.
T-shirts in a Drawer
Color Number
Blue
5
8
White
5
Black
9
Red
Kara chooses a t-shirt at random. Based on the table above, which statement is true?
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A.
B.
C.
D.
The t-shirt is 4 times as likely to be black as it is to be blue.
The t-shirt is more likely to be red than blue and white combined.
The t-shirt is 2 times as likely to be red as it is to be white.
The t-shirt is equally likely to be white or blue.

, 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

9x