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Introduction to Sequences and Series

General Sequences And Series - Example 1

A sequence is a collection of objects in which repetitions are allowed. For example, the sequence (2, 4, 6, 8, 10) of even numbers can be written as {2, 4, 6, 8, 10}, {2, 4, 6, 8, 10}, {2, 4, 6, 8, 10}, {2, 4, 6, 8, 10}, {2, 4, 6, 8, 10}, {2, 4, 6, 8, 10}, or any other of an infinite number of ways. The numbers in the sequence are called the terms of the sequence. The first number in the sequence is called the first term, the second number is called the second term, and so on. The nth term of a sequence is the number that is the nth member of the sequence. The kth term of a sequence is the number that is the kth member of the sequence.

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General Sequences And Series - Overview

General Sequences And Series - Example 1

General Sequences And Series - Example 2

General Sequences And Series - Example 3

General Sequences And Series - Example 4

Arithmetic Series - Overview

Arithmetic Series - Example 1

Arithmetic Series - Example 2

Arithmetic Series - Example 3

Arithmetic Series - Example 4

Geometric Series - Overview

Geometric Series - Example 1

Geometric Series - Example 2

Geometric Series - Example 3

Geometric Series - Example 4

Geometric Convergent vs. Divergent - Overview

Geometric Convergent vs. Divergent - Example 1

Geometric Convergent vs. Divergent - Example 2

Geometric Convergent vs. Divergent - Example 3

Geometric Convergent vs. Divergent - Example 4