17. Look at the pattern below.
24, 28, 32, 36, 40, . . .
Which expression represents the number in the pattern, where p is the position of the number in the pattern?
4(p + 5)
4p - 5
4(p + 4)
4p + 4
I'll give you a hint. The pattern starts at p=2. So we have p=2-p=6. Plug that in and see what you get. Someone can check it for you.
If your intent was to have 24 be the first number in the sequence, then 4(p + 5) represents all subsequent numbers.
To find the expression that represents the number in the pattern, you need to analyze how the pattern is growing. In this case, each number in the pattern is obtained by adding 4 to the previous number.
Starting with 24, 28 is obtained by adding 4 to 24. Similarly, 32 is obtained by adding 4 to 28, and so on.
To express this relationship using an expression, we can use 4p + k, where p represents the position of the number in the pattern, and k represents a constant value. In this case, since each number is obtained by adding 4, the constant value is 4.
So, the correct expression to represent the number in the pattern, where p is the position of the number, is 4p + 4.
Therefore, the correct answer is:
4p + 4.