What are the first four terms of the sequence represented by the expression 4n - 2?
A. 3, 7, 11, 15
B. 2, 6, 10, 14
C. 1, 5, 9, 13
D. 0, 4, 8, 12
To find the first four terms of the sequence represented by the expression 4n - 2, substitute different values of n into the expression.
When n = 1, the expression gives: 4(1) - 2 = 4 - 2 = 2.
When n = 2, the expression gives: 4(2) - 2 = 8 - 2 = 6.
When n = 3, the expression gives: 4(3) - 2 = 12 - 2 = 10.
When n = 4, the expression gives: 4(4) - 2 = 16 - 2 = 14.
Thus, the first four terms of the sequence represented by the expression 4n - 2 are 2, 6, 10, 14.
Therefore, the correct answer is B. 2, 6, 10, 14.
To find the terms of the sequence represented by the expression 4n - 2, you need to substitute different values of n into the expression and evaluate it.
So, let's substitute n = 1 into the expression:
4(1) - 2 = 4 - 2 = 2
The first term of the sequence is 2.
Now, let's substitute n = 2:
4(2) - 2 = 8 - 2 = 6
The second term of the sequence is 6.
Next, let's substitute n = 3:
4(3) - 2 = 12 - 2 = 10
The third term of the sequence is 10.
Finally, let's substitute n = 4:
4(4) - 2 = 16 - 2 = 14
The fourth term of the sequence is 14.
So, the first four terms of the sequence represented by the expression 4n - 2 are 2, 6, 10, 14.
Therefore, the correct answer is B. 2, 6, 10, 14.