What are the first four terms of the sequence represented by the expression n ( n - 2 ) - 3?
A -5 , -2 , 1 , 4
B -4 , -3 , 0 , 5
C -3 , 0 , 3 , 6
D -2 , 0 , 2 , 4
Please I need help with this
To find the first four terms of the sequence represented by the expression n( n - 2 ) - 3, we can substitute the first four values of n into the expression and simplify:
- n = 1: 1(1-2)-3 = -4
- n = 2: 2(2-2)-3 = -3
- n = 3: 3(3-2)-3 = -3
- n = 4: 4(4-2)-3 = 5
Therefore, the first four terms of the sequence are -4, -3, -3, 5, which matches option B. So the answer is B.
To find the first four terms of the sequence represented by the expression n ( n - 2 ) - 3, we can substitute values for n and calculate the corresponding terms.
Let's calculate the first four terms:
For n = 1:
Term = 1 (1 - 2) - 3
= 1 (-1) - 3
= -1 - 3
= -4
For n = 2:
Term = 2 (2 - 2) - 3
= 2 (0) - 3
= 0 - 3
= -3
For n = 3:
Term = 3 (3 - 2) - 3
= 3 (1) - 3
= 3 - 3
= 0
For n = 4:
Term = 4 (4 - 2) - 3
= 4 (2) - 3
= 8 - 3
= 5
The first four terms are: -4, -3, 0, 5.
Therefore, the correct answer is option B: -4, -3, 0, 5.