What are triangular numbers and how do they work?

Triangular numbers are a special sequence of numbers that can be represented in the shape of an equilateral triangle. They are formed by the arrangement of objects in a triangular pattern, where each subsequent row of objects has one more item than the previous row. To understand triangular numbers better, let’s look at how they … Read more

What is the derivative of sin(2x)?

The derivative of the function sin(2x) can be found using the chain rule, which is a fundamental theorem in calculus used for differentiating composite functions. To find the derivative, we first recognize that sin(2x) is a composition of two functions: the sine function and the linear function 2x. 1. **Differentiate the outer function**: The derivative … Read more

How can I convert a percentage into a fraction?

Converting a percentage into a fraction is a straightforward process. Here’s how to do it step by step: Understand the Definition: A percentage represents a part of a whole out of 100. For example, 25% means 25 out of 100. Write the Percentage as a Fraction: To convert the percentage to a fraction, you can … Read more