Answer:
a. an = -1 • 4^(n - 1)
Step-by-step explanation:
It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio). Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.
a1 = (-1) * 4^0 = -1 * 1 = -1
a2 = (-1) * 4^1 = -1 * 4 = -4
a3 = (-1) * 4^2 = -1 * 16 = -16
Yes, it works... so the answer is an = -1 • 4^(n - 1)
Answer:
a) System of equations will be: 
b) Number of adult tickets sold = 263
Number of students tickets sold = 237
Step-by-step explanation:
Let:
Number of adult tickets sold = x
Number of students tickets sold = y
a)
As Marc sold total 500 tickets, the expression will be: 
Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.
The expression will be: 
So, system of equations will be: 
b)
Solve the system to find value of x and y
Let:

Multiply equation 1 by 2 and subtract

We get value of x = 263
Now finding value of y by putting value of x in eq(1)

We get value of y = 237
Number of adult tickets sold = x = 263
Number of students tickets sold = y = 237
Answer: Infinite Solutions
Elimination Method
-x + 3y - 9 = 0
x - 3y = -9
———————— x and y cancels out
-9 = -9; is True so infinite Solutions
Note: if the variables cancel out, and the statement is true, its infinite solutions
if the variable cancels out, and the statement is false, its no solutions