Question

1. # What Is The Common Difference Between Successive Terms In The Sequence? 9, 2.5, –4, –10.5, –17?

Have you ever encountered a sequence of numbers and wondered what the common difference between them was? It’s a simple concept that most people can wrap their heads around. In this blog post, we will discuss one such example of a sequence—9, 2.5, –4, –10.5, –17—and break down why each successive term in the sequence has the same common difference. We’ll also explore how this same concept can be applied to other sequences and equations.

## The terms in the sequence are decreasing by 6.5 each time

As you can see from the image, the common difference between successive terms in the sequence is -6.5. This means that each term is 6.5 less than the previous term.

## The common difference is –6.5

This means that the successive terms in the sequence are 6.5 units apart. So, if we start with the first term, , and add 6.5 to it, we’ll get the second term: . And if we add 6.5 to , we’ll get . We can continue this process to find all of the terms in the sequence.

## The next term in the sequence would be –24

The next term in the sequence would be –24. The common difference between successive terms in the sequence is –3.

2. Are you trying to figure out the difference between successive terms in the sequence of 9, 2.5, –4, –10.5, –17?

We’ll break this down so you can understand it better!

The common difference between successive terms in a sequence is a number that is added to each term to get the next term. For example, in the sequence of 2, 4, 6, 8, 10, the common difference is 2.

In the sequence of 9, 2.5, –4, –10.5, –17, the common difference is –7.5.

To figure this out, let’s look at the first two terms: 9 and 2.5. The difference between these two numbers is 6.5.

Now, let’s look at the next two terms: –4 and –10.5. The difference between these two numbers is –6.5.

Finally, let’s look at the last two terms: –10.5 and –17. The difference between these two numbers is –6.5.

As you can see, the common difference between successive terms in this sequence is –7.5.

To simplify it, the common difference is the number that you will subtract from each successive term to get the next term. In the sequence of 9, 2.5, –4, –10.5, –17, the common difference is –7.5.

So now you know! Hopefully this helps you understand the difference between successive terms in a sequence better.