What Is A Geometric Sequence?

A geometric sequence is generated by multiplying the previous term by a constant ratio, termed the common ratio.

General Form Of A Geometric Sequence

This section introduces the general form of geometric sequences, defining key concepts like the common ratio and providing formulas to find terms and sums.

Formula For The 𝑛-Th Term

The section highlights the formula for finding the n-th term of a geometric sequence, enabling students to calculate specific terms efficiently.

Sum Of The First 𝑛 Terms (Finite Geometric Series)

This section covers how to calculate the sum of the first n terms of a geometric series using a specific formula.

Infinite Geometric Series

This section explores infinite geometric series, focusing on their convergence and the formula for calculating their sum.

Solving Problems Using Geometric Sequences

This section covers the application of geometric sequences in solving real-world problems, focusing on concepts such as compound interest and the characteristics of geometric sequences.

Real-World Application – Compound Interest

This section explains the concept of compound interest, highlighting its real-world applications in finance.

Common Ratio And Term Detection

This section explains how to identify geometric sequences by calculating the common ratio.

Practice Problems

This section contains practice problems that reinforce understanding of geometric sequences.

Chapter Summary

This section summarizes the key concepts of geometric sequences, including definitions, formulas, and real-world applications.