How are sequences and series used in real life?

As we discussed earlier, Sequences and Series play an important role in various aspects of our lives. They help us predict, evaluate and monitor the outcome of a situation or event and help us a lot in decision making.

What are sequences and series used for?

Sequences and series are most useful when there is a formula for their terms. For instance, if the formula for the terms an of a sequence is defined as “an = 2n + 3”, then you can find the value of any term by plugging the value of n into the formula.

Where is the Fibonacci sequence found in real life?

We observe that many of the natural things follow the Fibonacci sequence. It appears in biological settings such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone’s bracts etc.

In what fields do we find applications of sequences and series?

Sequences and series are very important in mathematics and also have many useful applications, in areas such as finance, physics and statistics.

How are sequences and series used in engineering?

Engineering Applications of Sequences and Series Mechanical Engineers use Series to predict the life of machine components subject to a random sequence of repeated loading, known as fatigue loading.

What have you learned about series and sequences?

We’ve learned that arithmetic sequences are strings of numbers where each number is the previous number plus a constant. The common difference is the difference between the numbers. If we add up a few or all of the numbers in our sequence, then we have what is called an arithmetic series.

How important is the knowledge of arithmetic series in your daily life as a student?

The arithmetic sequence is important in real life because this enables us to understand things with the use of patterns.

How did you apply the Fibonacci sequence in your daily life?

How can the Fibonacci sequence be used in everyday life?

leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

What are series used for in real life?

We’ve seen that geometric series can get used to calculate how much money you’ve got in the bank. They can also be used to calculate the amount of medicine in a person’s body, if you know the dosing schedule and amount and how quickly the drug decays in the body.

Where is geometric sequence used in real life?

A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing.

How can geometric sequences and series be applied to real life scenarios?

Now that we have learnt how to how geometric sequences and series, we can apply them to real life scenarios. Geometric growth is found in many real life scenarios such as population growth and the growth of an investment. Geometric growth occurs when the common ratio is greater than 1, that is .

What are some examples of sequences and series in our daily life?

In this part of the course I am just trying to show that we actually see alot of sequences and series everyday in our daily life. I already found some examples such as the housenumbers when you drive down a street, the number of people you reach in those ‘chain mails’, the value of your block in the game 2048,

What is the simplest way to express results in series?

Often the simplest way to express a result is as a series, to get the numerical value you need to compute it’s value. The best way known to compute various quantities of practical interest are series. Here’s an example for the following series : A snail fell in a 1 m well and wants to go back up.

Is basketball a real life example of arithmetic sequences and series?

When you think about basketball being a real life example of arithmetic sequences and series, you probably start to think .. Well how could we make a basketball game into an explicit or recursive formula? Easy 🙂 ! Every family starts off with a mom and dad. From there, the mom and dad have children.