Suppose you have 15 tubes of paint how many distinct color groupings can you make with your paint? (note you do you want some sort of color so choosing no color is not a valid option here. think how this pertains to subsets and improper subsets.)

i dont know

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

my guess would be b and d, but i didn’t actually get out the pen and paper. lol