Sequences in Maths

In mathematics, a sequence is an ordered list of numbers or objects that follows a specific rule or pattern. Each number in the sequence is called a term, and the position of a term in the sequence is determined by its index.

Types of Sequences

1. Finite Sequence: A sequence that has a limited number of terms.

Example: 1, 3, 5, 7, 9.

2. Infinite Sequence: A sequence that continues indefinitely.

Example: 1, 2, 3, 4,…

Sequences in Mathematics for Students

This section covers key types of sequences—arithmetic, geometric, harmonic, and Fibonacci—along with strategies for solving related problems quickly.

• Introduction to Sequences
• Arithmetic Sequence
• Geometric Sequence
• Harmonic Sequence
• Fibonacci Sequence
• Tricks to solve AP, GP, and HP Questions Quickly

Formulas for Basic Sequence

This section provides essential formulas for basic sequences covering nth terms, and sums.

• Arithmetic Sequence
  • Arithmetic Sequence Formula
  • nth term of an Arithmetic Sequence
  • Sum of N Terms of an AP

• Geometric Sequence
  • Geometric Sequence Formula
  • Sum of Geometric Series
  • Sum of Infinite Geometric Series

• Harmonic Sequence
  • Missing number in Harmonic Progression

• Fibonacci Sequence
  • Fibonacci Sequence Formula

Real-Life Applications

This section explores real-life applications of sequences.

• Real-life Applications of Arithmetic Sequence
• Real-life Applications of Geometric Sequence
• Real-Life Applications of Fibonacci Sequence

Practice Questions and Quizzes on Sequences

This section offers a variety of practice questions and quizzes on sequences and series.

• Quiz on Progressions
• Practice Questions on Arithmetic Series and Sequence
• Practice Problems on Geometric Series
• Sequence and Series Word Problems
• Sequences and Series Practice Problems
• Progression – Aptitude Questions and Answers

Sequences for Programmers

For programmers, this section covers algorithms for working with arithmetic, geometric, and harmonic sequences, along with finding the nth Fibonacci number.

• Mathematical Algorithms - Sequence & Series
• Arithmetic Sequence
• Geometric Sequence
• Harmonic Sequence
• Nth Fibonacci Number

Special Number Sequence

This section covers advanced topics in number sequences focusing on their unique patterns and properties.

• Triangular Number Sequence
• Square Number Sequence
• Hexagonal Numbers
• Tetrahedral Number