Sequence and Series - Arithmetic and Geometric Progressions | CA Foundation Maths | Chapter 6 | ICAI

Sequence and Series - Arithmetic and Geometric Progressions | CA Foundation Maths | Chapter 6 | ICAI

In This Video We Will Discuss the Sequence and Series - Arithmetic and Geometric Progressions all Concepts, Problems and Examples for the CA Foundation and CA Foundation Business Mathematics Chapter no 6 Complete Discussion and Important Questions With Solutions have been Discussed By Chandan Poddar Sir For CA Foundation Grooming Education.

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Time Stamp:
0:00 Intro
0:18 Sequence and Series
0:38 Arithmetic Progression Series
23:40 Additional Question Bank
1:23:56 Geometric Progression Series
1:31:32 Sum of N Terms of GP Series
1:35:17 Geometric Mean

Sequence and series is one of the basic topics in Arithmetic. An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements. An arithmetic progression is one of the common examples of sequence and series.

A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule. If a1, a2, a3, a4,……… etc. denote the terms of a sequence, then 1,2,3,4,…..denotes the position of the term.

A sequence can be defined based on the number of terms i.e. either finite sequence or infinite sequence.

If a1, a2, a3, a4, ……. is a sequence, then the corresponding series is given by

SN = a1+a2+a3 + .. + aN

Note: The series is finite or infinite depending if the sequence is finite or infinite.


Types of Sequence and Series
Some of the most common examples of sequences are:

Arithmetic Sequences
Geometric Sequences
Harmonic Sequences
Fibonacci Numbers
Arithmetic Sequences
A sequence in which every term is created by adding or subtracting a definite number to the preceding number is an arithmetic sequence.

Geometric Sequences
A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Harmonic Sequences
A series of numbers is said to be in harmonic sequence if the reciprocals of all the elements of the sequence form an arithmetic sequence.

Fibonacci Numbers
Fibonacci numbers form an interesting sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Sequence is defined as, F0 = 0 and F1 = 1 and Fn = Fn-1 + Fn-2

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