Madhava series

Madhava series is a way of finding an estimation of a special number called pi (π). Pi is a special number that tells us how many times the circumference of a circle can fit into its diameter. We use pi a lot in math and science to solve different problems related to circles and spheres.

Now, to get an estimation of pi using the Madhava series, we need to follow a specific formula that goes like this:

pi/4 = 1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + ...

This may look complicated, but it's just a series of numbers that we add and subtract repeatedly to get closer to the real value of pi.

Let's break it down further:

- We start with the number 1, which represents the first term in the formula.
- Then, we subtract one-third (1/3) from 1, which gives us a new number.
- Next, we add one-fifth (1/5) to the previous number.
- We keep alternating between subtracting and adding fractions that have odd denominators (3, 5, 7, 9, 11, and so on).
- As we keep going with this pattern, we get closer and closer to the value of pi.

The Madhava series was discovered by an Indian mathematician named Madhava in the 14th century. It's still used today in different fields of mathematics and physics to estimate the value of pi. The formula may seem complex, but it's just a fun way of playing with numbers and discovering new things about math!