Which expression represents the number in the pattern where "p" is the position of the number in the pattern?
20, 24, 28, 32, 36
a. 4(p +3)
b. 4p - 4
c. 4p + 4
d. 4 (p+4)
note that the image grows by 4, so it will involve 4p
20 is not 4*1, so try 4p+16 = 4(p+4)
To determine the expression that represents the number in the pattern, we can analyze the pattern itself.
In the given pattern, each number is obtained by adding 4 to the previous number.
Starting with 20, we can see that:
- The second number (24) is obtained by adding 4 to the first number (20).
- The third number (28) is obtained by adding 4 to the second number (24).
- The fourth number (32) is obtained by adding 4 to the third number (28).
- The fifth number (36) is obtained by adding 4 to the fourth number (32).
Based on this pattern, we can conclude that the expression representing the number in the pattern is "4p + 4" (option c) where "p" is the position of the number in the pattern.
To determine the expression that represents the number in the given pattern, let's analyze the pattern and look for any common differences or similarities between the numbers.
In this pattern, each number is obtained by adding 4 to the previous number.
Therefore, the expression that represents the number in the pattern can be determined using the general formula for an arithmetic sequence, which is:
nth term = a + (n - 1)d
Where:
- nth term represents the term at position n in the sequence.
- a represents the first term in the sequence.
- n represents the position of the term.
- d represents the common difference between the terms.
In this case, the first term is 20 and the common difference is 4.
Let's substitute these values into the formula:
nth term = 20 + (p - 1) * 4
Simplifying the expression gives us:
nth term = 20 + 4p - 4
Therefore, the correct expression that represents the number in the pattern where "p" is the position of the number in the pattern is:
b. 4p - 4