Sequence and Series Formula PDF Download For Bank Exams: Sequence and series formula sheet pdf is available here. In this sequence and series formulas pdf, you can learn various info. Aspirants who are effectively preparing for their upcoming bank exams and other competitive exams can download this sequence and series formula sheet pdf. To be familiar with the sequence and series formulas PDF, daily preparation is a must. Sequence and series formulas pdf will boost your marks in the quantitative aptitude section of the bank exams. The sequence and series formulas pdf will help you to make your calculations more easier. While solving problems, sequence and series formulas and examples will give you speed. Candidates must practice various types of sequence and series formulas and examples. By utilizing this sequence and series formula sheet pdf, you can crack bank exams. So, memorize the sequence and series formula list given here thoroughly.

In this sequence and series formula for bank exams article, we have deeply explained about the definition of sequence and series, the difference between the sequence and series, the various types of sequence and series formulas, arithmetic sequence and series formula, geometric sequence and series formula and the sequence and series formulas with example by using the sequence and series formulas. The candidates who are going to attend the bank exams must have some basic knowledge of sequence and series formulas. You can get the sequence and series formula pdf download to practice various types of questions by exploiting the sequence and series formulas. If you want to enhance your preparation level for the forthcoming bank exams and other competitive exams you can make use of these sequence and series formulas to score more marks in the aptitude section. 

Sequence and Series Formula Sheet PDF For Bank Exams

We have uploaded the sequence and series formula sheet pdf for bank exams in this sequence and series formula for bank exams article. Candidates can exploit this sequence and series formula pdf download to be familiar with the sequence and series formulas it will help you to solve the questions simply and improve your speed and accuracy while solving the sequence and series questions. This sequence and series formula pdf download contains arithmetic sequence and series formula, geometric sequence and series formula, sequence and series formulas and examples and more. Use sequence and series formula pdf download for your reference. 

Download the sequence and series formula pdf for bank exams

 

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What is Sequence and Series?

Here we have provided the detailed explanation of the sequence and series in this sequence and series formulas pdf. In most of the bank exams we are reuired to solve the questions within an allotted time with speed and accuracy. So for that you can use this sequence and series formulas pdf to solve any level of questions with speed and accuracy. Candidates shall go through this sequence and series formula pdf download to know more about the sequence and series topic. 

Sequence: A sequence is a collection of objects / elements in a particular order based on 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 identified based on the number of terms i.e. either finite sequence or infinite sequence.

Finite:- If a sequence have an end element, then it is called Finite Sequence.

For example, (1,3,5,7,9,11,13)

Infinite:- If a sequence continues with endless terms then it is called infinite sequence. 

For example, ( 1,2,3,4,5,6,7,......)

Series: A series can be defined as the sum of all the terms in a sequence. However, there has to be a definite relationship between all the terms of the sequence.

If a1, a2, s3, a4,.......is a sequence then the series will br a1+a2+a3+a4+..........

Difference Between Sequence and Series

The difference between the sequence and series is added in the table given below in this sequence and series formula for bank exams article. To know the difference between the sequence and series is more important while solving the sequence and series problems by using this sequence and series formulas. The sequence and series formulas pdf will help you for your future reference.

 

Difference Between Sequence and Series
Sequence	Series
The set of elements follows a certain pattern in sequence	The sum of elements of the sequence is called as series
Order of the elements is significant	Order of te elements is not so important
Finite sequence: 6,7,8,9,10	Finite sequence 5+7+8+9+!0
Infinite Sequence 4,5,6,7,8,.......	Infinite sequence 4+5+6+7+8+.....

 

Types of Sequence and Series Formula For Bank Exams

Here we have provided some of the most common types of sequence and series. Aspirants can make a use of this sequence and series formula post to know the types of sequence and series in the bank exams. 

• Arithmetic Sequences
• Geometric Sequences
• Harmonic Sequences
• Fibonacci Numbers

Arithmetic sequence:- If the difference between the term and its previous term is always same, that type of series is called an arithmetic sequence. Every term in a sequence is created by adding or subtracting a definite number to the previous number is an arithmetic sequence. 

a, a+d, a+2d,……,a+(n-1)d,….

Geometric Sequence:- Geometric series is a sequence where every successive terms have a fixed ratio between them is called a geometric sequence. 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.

                                                   a, ar, ar2,….,ar(n-1),…

Harmonic Sequence:- When the reciprocals of all the numbers or elements forms an arithmetic sequence then it is called as harmonic sequence.

1/a, 1/(a+d), 1/(a+2d), 1/(a+3d), 1/(a+4d), ....,

Fibonacci Numbers:- A form of sequence of numbers in which each component is found by adding two preceding elements and the sequence starts with 0 and 1. 

F0 = 0 and F1 = 1 and Fn = Fn-1 + Fn-2

Arithmetic Sequence and Series Formula For Bank Exams

The arithmetic sequence and series formulas are provided in the table given below. Candidates can go through this table to know more about arithmetic sequence and series formulas for bank exams. The aspirants should memorize the important sequence and series formulas to improve their ability to solve any type of sequence and series questions with the sequence and series formulas.

 

Arithmetic Sequence and Series Formulas
Term	Arithmetic Sequence and Series Formula
Sequence	a, a+d, a+2d,……,a+(n-1)d,….
Common Difference or Ratio	Successive term – Preceding term Common difference = d = a2 – a1
General Term (nth Term)	an = a + (n-1)d
nth term from the last term	an = l – (n-1)d
Sum of first n terms	sn = n/2(2a + (n-1)d)

 

Geometric Sequence and Series Formula For Bank Exams

The Geometric sequence and series formula for bank exams is provided in the table given below. Aspirants shall go through this table to know more about geometric sequence and series formulas. You must memorize the important geometric sequence and series formulas to score good marks simply in this topic.

 

Geometric Sequence and Series Formulas
Term	Geometric Sequence and Series Formula
Sequence	a, ar, ar2,….,ar(n-1),…
Common Difference or Ratio	Successive term/Preceding term Common ratio = r = ar(n-1)/ar(n-2)
General Term (nth Term)	an = ar(n-1)
nth term from the last term	an = l/r(n-1)
Sum of first n terms	sn = a(1 – rn)/(1 – r) if |r| < 1 sn = a(rn -1)/(r – 1) if |r| > 1

 

Sequence and Series Formulas and Examples

In this sequence and series formula for bank exams post we have provided some sequence and series formulas and examples. Candidates can practice more types of sequence and series questions by exploiting the sequence and series formula pdf download. This sequence and series formulas pdf also have the sequence and series formulas with examples. You can solve the questions related to this sequence and series formulas and examples by making use of the sequence and series formulas pdf.

Example 1: Find the sum of the first 100 terms of the arithmetic series 1 + 4 + 7 + ....

Solution:

In the given series, the first term is a = 1 and the common difference is d = 3.

Using the sequences and series formulas,

Sn = n/2 (2a + (n - 1) d)

For the sum of 100 terms, substitute n = 100:

S100 = 100/2 (2(1) + (100 - 1) 3) = 14,950

Answer: The sum of the first 100 terms is 14,950.

Example 2: If 4,7,10,13,16,19,22……is a sequence, Find:

a) Common difference

b) nth term

Solution: Given sequence is, 4,7,10,13,16,19,22……

a) The common difference = 7 – 4 = 3

b) The nth term of the arithmetic sequence is denoted by the term Tn and is given by Tn = a + (n-1)d, where “a” is the first term and d is the common difference.

Tn = 4 + (n – 1)3 = 4 + 3n – 3 = 3n + 1

 

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Sequence and Series Formula For Bank Exams FAQs

Q. What is the formula to find nth term in an arithmetic sequence? 

A. nth term from the last term = an = l – (n-1)d

Q. What is Harmonic Sequence?

A. When the reciprocals of all the numbers or elements forms an arithmetic sequence then it is called as harmonic sequence.

1/a, 1/(a+d), 1/(a+2d), 1/(a+3d), 1/(a+4d), ....,

Q. What is the formula to find Common Difference or Ratio in Geometric Sequence?

A. Common Difference or Ratio = Successive term/Preceding term

    Common ratio = r = ar(n-1)/ar(n-2)