Sequences and Series Class 11

What are Sequences and Series?

A sequence is an ordered list of numbers that follow a specific pattern or rule. Each number in the sequence is called a term. Sequences can be finite or infinite, depending on whether they have a limited number of terms or continue indefinitely. The pattern or rule that defines a sequence can be arithmetic, geometric, or based on some other mathematical relationship....

Arithmetic Sequence

The sequence in which each consecutive term has a common difference and this difference could be positive, negative and even zero is known as an arithmetic sequence....

Geometric Sequence

The sequence in which each consecutive term has a common ratio is known as a Geometric sequence....

Harmonic Sequence

The sequence in which the reciprocal of each term forms an arithmetic sequence is known as a harmonic sequence....

What is Summation Notation?

Summation Notation is a simple method to find the sum of a sequence. Summation notation is also known as sigma notation. Sigma refers to the Greek letter sigma, Σ. The limit of the sequence is represented as shown in figure 1 where the lower limit is the starting index of the sequence and the upper limit represents the ending index of the sequence. Like as shown in figure 1 the lower limit is 1 and the upper limit is 4 so this means we need the sum of 1st,2nd,3rd and 4th term which is ( 2 * 1 ) + ( 2 * 2 ) + ( 2 * 3 ) + ( 2 * 4 ) = 2 + 4 + 6 + 8 = 20....

Sequences and Series Examples

Example 1: Find the first 4 terms of the sequence: an = 2 * xn + 1 and n > 0?...

Sequences and Series Class 11

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FAQs on Sequences and Series

What is the difference between a sequence and a series?...