210 students were asked whether they want to go to a water park or a roller skating rink for a class party. 50 students are girls who want to go to the water park. 45 students are girls who want to go skating. 60 students are boys who want to go to the water park. Answer the questions to analyze the data. 1. Use the given information to fill in the two-way table.

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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

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