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See bolded equations

Step-by-step explanation:

The system of equations can be used to solve this problem. C is child ticket and a is adult ticket.

Equation 1

3c+4a=1740

This equation comes from the cost of the tickets. 3c is the cost of $3 per child ticket and 4a is the cost of $4 per adult ticket. 1740 is the total amount collected.

Equation 2

c+a=530

This comes from the number of tickets sold. The c+a is the total of child and adult tickets sold and 530 is the total amount of tickets.

the answer is a

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