Givens
Sequence 2, - 4, 8, -16, 32 ....
First term = a = 2
Problem
Find the nth term
tn = (-1 )^(n -1) * (a)^n answer or
tn = (-1)^(n - 1) * 2^n
where a is defined as the first term (it usually is given that designation).
Try a few to make sure the formula is correct
<em>n = 1</em>
t1 = (-1)^(1 - 1) * 2^1
t1 = (-1)^0 * 2
t1 = 1 * 2 = 2
<em>n =2</em>
t2 = (-1)^(2 - 1) * 2^2 = (-1)^1 * 4 = -4
A community group bought 30 tickets to an amusement park at a total cost of $810. They bought x student tickets for $25 each and y adult tickets for $30 each.
***
let x=number of student tickets bought
30-x=number of adult tickets bought
..
25x+30(30-x)=810
25x+900-30x=810
5x=90
x=18
30-x=12
number of student tickets bought=18
number of adult tickets bought=12
Hope this helps!
Answer:

Step-by-step explanation:
Ok first multiply the first two monomials:

Then multiply THAT with the OTHER monomial:

This should be the answer. Let me know if it's wrong.