Sequences and Series

IMPORTANT

Mathematics Solutions from Chapter -1 - Sequences and Series

In this chapter, we will learn about sequences and series. The general terms of arithmetic and geometric progression is discussed. It also explains the relationship between arithmetic and geometric progression.

Practice Other Topics from Sequences and Series

Mathematics>Algebra>Sequences and Series>Understanding Sequence and Series

This topic explains how to find the next term of the sequence via solved examples. It helps us to understand the definition of arithmetic progression and learn how to find the common difference.

This topic discusses the definition and properties of an AP. It derives the formula for the last term and the sum of the series. Next, the derivations for arithmetic mean are proved elaborative and solved examples.

Mathematics>Algebra>Sequences and Series>Sum of n Terms of an Arithmetic Series

This topic discusses different methods of finding the sum of n terms of an arithmetic progression. It includes two corollaries and remarks based on the formula of sum of n terms. It also covers the calculation of first term and common difference.

Mathematics>Algebra>Sequences and Series>A.M. and Useful Results in Arithmetic Progression

In this topic, we will understand the concept of arithmetic mean. It highlights different formulas of finding the arithmetic mean and explains its applications via examples. It also covers various results based on this concept.

Mathematics>Algebra>Sequences and Series>Geometric Mean and Useful Results

In this topic, we will gain basic knowledge of geometric mean along with the formulas. The topic highlights the relationship between arithmetic and geometric mean as well. We will also discuss various results based on the concept of geometric mean.

Mathematics>Algebra>Sequences and Series>Sum of Geometric Series

This topic is all about sum of geometric series. We will come across the sum of n terms as well as infinite terms. It highlights the formula used to find the sum via solved examples. We will also study the significance of common ratio here.

Mathematics>Algebra>Sequences and Series>Arithmetic Geometric Series

In this topic, we will understand arithmetico-geometric series. It explains how to find the sum of n terms and briefs on sum to infinity of an arithmetico-geometric series. It also covers various examples to explain the method of approach.

Mathematics>Algebra>Sequences and Series>Series Involving Natural Numbers for Finding Sum

In this topic, we will come across the series involving natural numbers in the topic. It highlights the formula of finding the sum of the first n natural numbers and sum of squares of the first n natural numbers. It also covers various solved examples.

Mathematics>Algebra>Sequences and Series>Method of Differences for Finding Sum

In this topic, we will discuss the technique used for finding the sum of series. It explains the method of differences with the aid of solved examples. It also covers the mathematical symbol of successive terms in a series.