What is the difference between arithmetic and geometric sequence? Is this the question in your mind right now? You have landed at the right place.

Arithmetic sequences have a constant difference between each term. Example: 2, 4, 6,8,10 and 12…. It is clear that each term differs by +2. This is the common difference, or d.

A geometric sequence is defined by a constant ratio between each term (multiplier). Example: 2, 4,8,16 and 32. To find the next term in a sequence, we multiply the preceding term by 2. This is the common ratio r.

These sequences are very similar because they share the same first term. However, I hope you can see how they differ if they have a common distinction or a common ratio.

You can make a decreasing sequence of arithmetic by using a negative common distinction. A decreasing sequence of geometrics would also have a common ratio less than 1.

Table of Contents

**Difference between Arithmetic and Geometric Sequence**

Let’s check below the difference between arithmetic and geometric sequence, but before this its utmost important to know what is Arithmetic and Geometric sequence is.

**What is Arithmetic Sequence?**

- This is also called arithmetic progression. It is a sequence in which the difference between successive terms is constant.
- Arithmetic progressions can be added or subtracted. It also occurs in a linear format.
- Arithmetic sequence example: a, Ad, A+2d, a+3d, a+4d.Where a is the first term, and d is the common difference.

**What is Geometric Sequence?**

- This is also called geometric progression. It is a sequence in which the ratio of successive terms is constant.
- Geometric progression can be either multiplied or divided. A geometric sequence can also be expressed in exponential form.
- The common ratio can be described as a number that is both fixed and non-zero. This is an example of the common ratio: 3, 6, 12, 24….

**Difference between Both**

- Arithmetic sequences are lists of numbers that have successive terms with constant difference, while geometric sequences are lists of numbers with successive term with constant ratio.
- Arithmetic sequences have a common difference, while geometric sequences have a common ratio
- Arithmetic sequences can be added or subtracted, while geometric sequences are multipliable or divided.
- Variation in members of arithmetic sequences is linear, while that of geometric sequences is exponential.
- A divergent infinite arithmetic sequence can be called a geometric sequence. However, a divergent sequence of arithmetic is different from one that is convergent or divergent.

**Conclusion**

As you can see, there is a significant difference between these two types of sequences. Arithmetic sequences can also be used to find savings, cost, increment, and other useful information. The practical application of a geometric sequence can be used to determine population growth, interest, and other factors.