The next term in the sequence
1, 6, 13, 22, 33.

44

45

46

52

a² + b²= c²

24² + 7² = c²

c= 25

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two