Acosmetics company decides to compare its new nail polish product, bella, with three other nail polish brands: primrose, shine, and glo. in an experiment, participants are divided into four groups. each group of women is asked to wear nail polish from one of the four brands. the results for primrose, shine, and glo are compared with those for bella, and a conclusion is drawn. what does the type of nail polish represent in this case?

, 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

there would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers.