# Progressions

From Karnataka Open Educational Resources

Philosophy of Mathematics |

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## Contents

# Concept Map

# Textbook

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- Karnataka textbook for class 10 Chapter 3 -Progressions
- Tamilnadu textbook for class 10 chapter 4 pages : 34 to 67
- Gujarat textbook for class 10 : Chapter 5 Arithmetic progression
- Kerala state textbook for class 10 : Chapter 01 Arithmetic Sequences

# Additional Information

## Useful websites

- Common Number patterns
- Recognising Number Patterns
- Match Sticks Activity
- FIND THE Nth TERM USING "POWER" AND "FRACTIONS"
- FINDING THE nth TERM IN A SEQUENCE
- Maths is fun for Arithmetic progressions
- Maths is fun for Geometric progressions
- this PPT will give basic information of progressions
- -this pdf file deals with the fundamentals of A.P
- Number pattern and number sequence
- Introduction to A.P
- Understanding A.P
- Formula deriving nth term of an A.P.
- Using formula nth term of anA.P.
- Formuladerivation ofsum of n termsof an AP
- Formula derivationsum of n termsof an AP whenfirst term andlast term is given
- Sum of first nterms of an A.P.Problems
- Understanding GP
- CBSE-i Arthimetic progression and geometric progression
- Progression Points

# video on progressions from youtube

## Reference Books

# Teaching Outlines

- In different number pattern relating terms of the pattern
- Defining different number pattern
- Recognition of each terms
- Differnce between finite and infinite sequence
- Difference between sequence and series

## Concept #1 Introduction to progression

### Learning objectives

- Identifying the pattern present in different number pattern
- Meaning of the sequence
- Defining the terms of the sequence
- Writing the next terms and n'th term of the given sequences
- Defining the finite and infinite sequence and examples.

### Notes for teachers

- An orderly arrangement of numbers according to a certain rule is called a sequence.
- A sequence containing finite number of terms is called a finite sequence.
- A sequence containing infinite number of terms is called an finite sequence.

### Activity

- Activity No #1 - Introduction to progression click here
- Activity No #2 - Introduction to progression click here
- To get the videos on progression in Kannada click here shared by yakub koyyur GHS Nada.

## Concept #2 types of progression

### Learning objectives

- Classification progression depending upon relation between consecutive terms
- Identify the types of progression for given sequence
- Giving example for three types of progression.

### Notes for teachers

- The difference between any term and its preceding term is a constant ------- Arithmetic progression
- The reciprocals of the arithmetic progression --------Harmonic progression
- The ratio between any term and its preceding term is constant -------Geometric progression.

for a notes of progression clicik here

### Activity

- Activity No #1 activity to types of progressions click here
- Activity No #2 activity to types of progressions click here

# Hints for difficult problems

- A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785?
- In an A.P. sum of first 6 terms is 345.If difference between first term and last term is 55 then find that terms.

Please clickhere here for the solution.

#10th arithmetic progression solves questions

- Answer to progression problem 1 - T3=T4+9 or T3-T4=9

# Project Ideas

projects on progression click here

# Math Fun

To see puzzles under Arithmetic Progressions Please click here

**Usage**

Create a new page and type {{subst:Math-Content}} to use this template projects on progression click here