At a local carnival, alicia is selling has she creates herself. each hat costs her $5 to make and she sells them for $10 each. alicia had to pay a $25 fee to set up a booth to sell her hats at the carnival.

5

Step-by-step explanation:

I think if your asking how many hats to sell you do 10-5=5 then 5x5=25

the answer to the expression is 83

, 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