Answer:
The correct answer is shown marked.
Step-by-step explanation:
"n" is the variable commonly assigned to the term number in a sequence. The first term is the value of the expression for n=1:
1(1 -2) -3 = (1)(-1) -3 = -1 -3 = -4 . . . . . the first term of the sequence
Note that only one answer selection has this value (-4) as the first term, so you need go no further to select the correct answer.
You can check the other terms for fun or practice:
For n=2, the second term is 2(2-2) -3 = 0-3 = -3
For n=3, the third term is 3(3-2) -3 = 3·1 -3 = 0
For n=4, the fourth term is 4(4 -2) -3 = 4·2 -3 = 5
Thus the first 4 terms of the sequence described by n(n-2)-3 are ...
-4, -3, 0, 5 . . . . . corresponding to the marked selection
