what are the first four terms of the sequence represented by the expression n(n - 1) - 4
The first four terms of the sequence represented by the expression n(n-1) - 4 are:
n = 1: 1(1 - 1) - 4 = -4
n = 2: 2(2 - 1) - 4 = -2
n = 3: 3(3 - 1) - 4 = 4
n = 4: 4(4 - 1) - 4 = 12
Therefore, the first four terms of the sequence are -4, -2, 4, and 12.
To find the terms of the sequence represented by the expression n(n - 1) - 4, we need to substitute the first four natural numbers (1, 2, 3, and 4) into the expression and simplify.
Let's start by substituting n = 1:
First term = 1(1 - 1) - 4 = 1(0) - 4 = -4
Now, substitute n = 2:
Second term = 2(2 - 1) - 4 = 2(1) - 4 = 2 - 4 = -2
Next, substitute n = 3:
Third term = 3(3 - 1) - 4 = 3(2) - 4 = 6 - 4 = 2
Finally, substitute n = 4:
Fourth term = 4(4 - 1) - 4 = 4(3) - 4 = 12 - 4 = 8
Therefore, the first four terms of the sequence represented by the expression n(n - 1) - 4 are: -4, -2, 2, and 8.
To find each term, we plugged in the values of n and simplified the expression accordingly.
To find the first four terms of the sequence represented by the expression n(n - 1) - 4, we can substitute different values of n into the expression and calculate the result.
1. n = 1:
Plug in n = 1 into the expression:
1(1 - 1) - 4 = 0 - 4 = -4
The first term of the sequence is -4.
2. n = 2:
Plug in n = 2 into the expression:
2(2 - 1) - 4 = 2 - 4 = -2
The second term of the sequence is -2.
3. n = 3:
Plug in n = 3 into the expression:
3(3 - 1) - 4 = 6 - 4 = 2
The third term of the sequence is 2.
4. n = 4:
Plug in n = 4 into the expression:
4(4 - 1) - 4 = 12 - 4 = 8
The fourth term of the sequence is 8.
Therefore, the first four terms of the sequence represented by the expression n(n - 1) - 4 are: -4, -2, 2, 8.