8.9-3.3j=-2.2j+2.3
add 3.3j to both sides
8.9=1.1j+2.3
subtract 2.3 from both sides
6.6=1.1j
divide both sides by 1.1
6=j

notice, the first term is 9.5
from there it goes to 11.5, well, how much is it being added to get 11.5?
well 9.5 + 2, is 11.5, so it was added 2 to 9.5
then it goes from 11.5 to 13.5, namely, 11.5+2 = 13.5
and then 13.5+2 = 15.5 and so on
so, the "common difference" or the common addition value, is 2
how do you find the nth term?
well
Answer:
there were 82 adult tickets and 32 children tickets that were sold
Step-by-step explanation:
x = adult's tickets
y = children's tickets

x + y = 114
y = -x +114
replace y by -x +114 in the second equation
11x + 6y = 1094
11x + 6(-x + 114) = 1094
11x -6x + 684 = 1094
5x + 684 = 1094
5x = 410
x = 82
x + y = 114
82 + y = 114
y = 32