what are the first three terms of the sequence represented by the expression n(n-1)-4? n=1
-4 -2 +2
To find the first three terms of a sequence represented by the expression n(n-1)-4, we need to substitute the given values of n and evaluate the expression.
Given n = 1, let's substitute this value into the expression:
1(1-1) - 4
Now, let's solve it step by step:
1(0) - 4
0 - 4
-4
Therefore, the first term of the sequence, when n = 1, is -4.
To find the second term, we need to substitute n = 2 into the expression:
2(2-1) - 4
Let's solve it:
2(1) - 4
2 - 4
-2
Hence, the second term of the sequence, when n = 2, is -2.
Finally, let's compute the third term by substituting n = 3 into the expression:
3(3-1) - 4
Here's the solution:
3(2) - 4
6 - 4
2
So, the third term of the sequence, when n = 3, is 2.
Thus, the first three terms of the sequence represented by the expression n(n-1)-4, when n = 1, are:
-4, -2, 2.