Question

#4 Kerry created a pattern with rectangles. Her first step contained 1

rectangle. The second step contained 3 rectangles. The third step
contained 5 rectangles. What is the constant rate of change?
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Answer 1

The constant rate of change is 2 rectangles

Explanation:

Looking at this question, we can see that what we have is in the form of an arithmetic progression otherwise known as A.P

An arithmetic progression refers to a series of numbers that differ by a constant addition or subtraction of a certain constant number. What this means is that subsequent terms are formed by the addition of a certain constant number to preceding terms.

Now, let's look at the situation in the question;

1, 3 , 5, ?, ?

Looking at the first three terms, we can see that the difference between the first two terms is 2, the difference between the third term and the second term is 2 also. This gives us an ideas of an arithmetic progression, with the first term being 1 and the common difference being 2.

The common difference is what is referred to as the constant term in this questions which is equal to 2