A bounded sequence is nothing but the sequence which has the lower bound and the upper bound.

a_n < = m then it is called an upper bound.

a_n > = n then it is called a lower bound.

if the sequence n<= a_n >=m is bounded sequence.

For example,  if we take the harmonic sequence as 1, 1/2, 1/3...this sequence is bounded where it is greater than 1 and less than 0.

Let us look into the guidelines that are given below to know the sequence is bounded or not.

• First, as we know we need to take the values that are given in the problem.
• Then, use the sequence formula and calculate the problem.
• Finally, after solving it we can tell whether the sequence is bounded or not.

Example:

Question: Find the sequence equation a_n = n² is bounded or not?

Solution:

Given, a_n = n²

n = 1, 2, 3

a_n = 1² = 1

a_n = 2² = 4

a_n = 3² = 9

Here, the sequence is greater than 1 and less than 0. so this sequence is bounded.

Sequencecalculators.com is the best website that has all sequence calculators that give you accurate results. Use them to make your work easy.

FAQs on Bounded Sequence Calculator 

1. What is a bounded sequence?

A bounded sequence is a sequence that has an upper bound and a lower bound.

2. How to use this bounded sequence calculator?

All you need to do is give the inputs in the input fields and click on the calculate button that give the answers easily.

3. Which website offers best bounded sequence calculator?

Sequencecalculators.com is the best website that offers best bounded sequence calculator.