What are the applications of series?

Applications of Series Circuit

• Series resistive circuits are used in low power circuits.
• Series Circuits are used in voltage divider circuits.

How do series apply 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.

What are Power series used for in real life?

Explanation: Power series are often used by calculators and computers to evaluate trigonometric, hyperbolic, exponential and logarithm functions. More accurately, a combination of power series and tables may be used in preference to the slower CORDIC algorithms used on more limited older hardware.

Where are infinite series used?

Infinite series have applications in engineering, physics, computer science, finance, and mathematics. In engineering, they are used for analysis of current flow and sound waves. In physics, infinite series can be used to find the time it takes a bouncing ball to come to rest or the swing of a pendulum to stop.

What is an infinite series in math?

infinite series, the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are useful in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

What is the application of infinite series?

How are infinite series used?

Infinite series have applications in engineering, physics, computer science, finance, and mathematics. In engineering, they are used for analysis of current flow and sound waves. Infinite series in the field of mathematics are used to solve differential equations and to approximate functions.

What is the application of geometric sequence 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.

Where are power series used?

Power series expansions can be used to approximate the values of definite integrals, and a common example is the error integral (integrand is e−x2) because this leads to an alternating series (even when x is negative), and so the error can be easily estimated.

Why do we need power series?

Possibly the most basic reason why power series are useful is that they allow you to approximate any (possibly convoluted, but smooth) function f(x) by its (truncated) power series f(x)=∑nanxn=∑n≤Nanxn+O(xn+1).