Sequence and Series Examples pdf for Competitive Exams, Numerical Ability Sequence and Series Questions with Solutions pdf,

Sequence and Series Examples pdf: – Hello Everyone, The Sequence and Series is the important part of the Quantitative Aptitude Section for the Bank, SSC, RRB, SBI and others Competitive Exams. In this article we provide some important tips and tricks to solve the Sequence and Series Question. So the candidates who are going to take part in the Competitive Exams, they must read this article carefully.

## Sequence & Series Questions with Solutions Tips & Tricks

Quantitative Aptitude Sequence & Series topic is one the most engaging and intriguing concept in Bank, SSC and others Exam. Since candidate love solving puzzles based on sequence & series. Sequence & series are closely related concepts & possess immense importance.

**Progression is of 3 types**:

- Arithmetic Progression
- Geometric Progression
- Harmonic Progression

**Arithmetic Sequence**

If anyone wish to find any term in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself.

Let’s start by examining the essential parts of the formula

**Formula for the Find nth Term in the Arithmetic Progression**

__Problem 1:__

The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find a formula for the n th term and the value of the 50 th term

__Solution to Problem 1:__

- Use the value of the common difference d = 3 and the first term a
_{1}= 6 in the formula for the n th term given above a_{n}= a_{1}+ (n – 1 )d= 6 + 3 (n – 1)= 3 n + 3

- The 50 th term is found by setting n = 50 in the above formula.
a _{50}= 3 (50) + 3 = 153

An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, a_{1} and last term, a_{n}, divide by 2 in order to get the mean of the two values and then multiply by the number of values, n:

**Quantitative Aptitude Exam Syllabus pdf **

**Sequence & Series.****Simplification.****Average****Number Systems.****Profit & Loss.****Percentage.****Simple Interest & Compound Interest****Data Interpretation.****Time & Distance & Speed**

**Sums of Arithmetic Sequences in the A**

**r**

**ithmetic Progression**

**Example**

Find the sum of the following arithmetic series 1,2,3…..99,100

We have a total of 100 values, hence n=100. Our first value is 1 and our last is 100. We put the values into our formula and get:

### Geometric sequences and series Examples for Bank Exam

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

Harmonic Progression Example with Solutions

A harmonic progression is a sequence of real numbers formed by taking the reciprocals of an arithmetic progression. Equivalently, it is a sequence of real numbers such that any term in the sequence is the harmonic mean of its two neighbors.

### Quantitative Aptitude Study Material

**Compound Interest****Maths-Area**- Quantitative Aptitude -Circle
**Maths-Cube-Cuberoot**- Quantitative Aptitude-Equations
**Factors**- Quantitative Aptitude-Geometry-Line-Angle (रेखा और कोण)
- Maths-Geometry-Triangle (समतलीय आकर्तीया)
**Quantitative Aptitude-partnership****Quantitative Aptitude-Powers****Maths-Profit-Loss**- Quantitative Aptitude-Quadrilaterals
- Quantitative Aptitude-Ratio-perforation
- Maths-Simple-Interest
- Quantitative Aptitude-Square-Square root
- Maths-Statics

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