How to Find the Next Number in a Sequence

The Organic Chemistry Tutor

This instructional video provides a comprehensive tutorial on identifying patterns and finding the next terms in various number sequences. The narrator guides viewers through step-by-step examples ranging from basic arithmetic sequences involving addition and subtraction to more complex geometric sequences involving multiplication and exponents. The video uses a digital whiteboard format to visually demonstrate how to calculate the "common difference" or "common ratio" between terms, making abstract algebraic concepts concrete and accessible. Key themes include recognizing arithmetic versus geometric sequences, identifying perfect squares and cubes, and analyzing patterns within fractions. The video progresses in difficulty, starting with simple constant differences and moving toward sequences with increasing differences (e.g., adding +2, then +3, then +4) and complex fraction patterns where numerators and denominators follow separate rules. This progression helps scaffold learning for students at different levels of proficiency. For educators, this video serves as an excellent resource for Pre-Algebra and Algebra 1 classrooms. It can be used to introduce the concept of functions and sequences, reinforce mental math skills, or provide targeted practice for standardized test preparation. The pause-and-try format built into the video encourages active participation, allowing teachers to use it as an interactive class activity or a self-paced review tool for students struggling with pattern recognition.