Sequence:

A succession of numbers formed according to some definite principle is known as a sequence. For example 1, 3, 5, 7,9 ....... is a sequence, here each and term of the sequence can be obtained by adding 2 to the preceding term.

Types of Sequence

There are two types of sequence.

i) Finite sequence

ii) Infinite sequence

a sequence is called be a finite or infinite according as it has infinite or finite number of related terms.

Series

If {f_n} be a linear sequence then an expression of the form f₁+ f₂+ ...... + f_nis known as series. In other word a series is the sum of the related terms of the sequence.

Progression:

If the terms of a sequence are written under given condition then the sequence is defined as progression. There are three kinds of progressions.

i) Arithmetic Progression

ii) Geometric Progression

iii) Harmonic Progression

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