# Monotonic Sequence Calculator

**Created By :** Abhinandan Kumar

**Reviewed By :** Rajashekhar Valipishetty

**Last Updated :** Mar 27, 2023

Online monotonic sequence calculator is the best online tool that helps to calculate the function of a monotone easily in a fraction of seconds. All you need to do is give the inputs in the input fields and click on the calculate button then get the answers instantly.

### How to Solve if a Function is a Monotone?

The monotonic sequence is a set of numbers it is always either increasing or decreasing.

a_{n} <= a_{n+1 }(Increasing of monotonic sequence)

a_{n }>= a_{n+1} (Decreasing of monotonic sequence)

Now, we are going to see the steps that are given below to calculate the monotonic sequence easily.

- Firstly, give the values that are given in the problem.
- After that, we need to simplify the equations.
- Then you will see the answers in a monotonic sequence.

**Example:**

**Question: **Find the first four terms of a_{n} = n / (n+1) to see the monotonic sequence?

**Solution:**

Given, a_{n} = n / (n+1)

where, n = 1,2,3,4

a_{1} = 1 / (1+1) = 1/2.

a_{2} = 2 / (2+1) = 2/3.

a_{3} = 3 / (3+1) = 3/4.

a_{4} = 4 / (4+1) = 4/5.

Therefore the four terms to see the monotonic sequence is 1/2, 2/3, 3/4, 4/5.

Sequencecalculators.com is a huge collection of online calculators for plenty of concepts in sequences. Explore it and make your calculations easy.

### FAQs on Monotonic Sequence Calculators

**1. What is a monotonic sequence?**

The monotonic sequence is a set of numbers it is either always increasing or always decreasing.

**2. How to use this monotonic sequence calculator?**

**Step 1:** Give the inputs in the input field.

**Step 2:** Then you need to click on the calculate button.

**Step 3:** Finally, you will get the answer immediately.

**3. Which type of sequence is monotonic and non-monotonic?**

If the sequence is always increasing or always decreasing then that sequence is monotonic. And the sequences are up and down then it is non-monotonic.

**4. Which tool is the best to calculate the monotonic function?**

Monotonic Sequence Calculator is the best online tool to calculate the monotonic function.