Types of progressions

The Story of Mathematics

Philosophy of Mathematics

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Concept Map

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Textbook

1. Gujarat textbook for class 10 : Chapter 5 Arithmetic progression
   
2. Kerala state textbook for class 10 : Chapter 01 Arithmetic Sequences
   
3. NCERT text book : Aarithmetic progression

Additional Information

Useful websites

1. Maths is fun for Arithmetic progressions
2. Maths is fun for Geometric progressions
3. maths is fun all three types progression

Teaching Outlines

1. Identify the types of progression in the given sequence
2. Meaning of three types of progression
3. General form of three types of progression
4. Difference between three types of progression
5. Terms related to A.P , H.P and G.P
6. Formula's of three types progression
7. Mean of three types of progression and their relation
8. Problems of three types of progression

Concept #1 Arithmetic Progression

Learning objectives

1. Definition of Arithmetic progression
2. Writing the general form of an A.P
3. Terms used in A.P
4. Finding 'a', common difference, 'n' th of A.P
5. Framing formula to find the sum of a finite arithmetic series.
6. Finding the sum of a finite arithmetic series.

Notes for teachers

1. An arithmetic progression is a sequence in which each term is obtained by adding a fixed number to the preceding term.
2. General form : a , a+d , a+2d , a+3d, . . . . ., a+(n-1)d
3. Common Difference (d) : Difference between any term and its preceding term
4. Formula's of Arithmetic progression

Activities

1. Activity No #1
2. Activity No #2

Concept #2 Harmonic progression

Learning objectives

1. Defining an Harmonic progression
2. The General form of Harmonic Progression
3. Compare H.P with other type of progression
4. Identifying H.P among a given set of progression

Notes for teachers

A sequence in which , the reciprocals of the terms form an arithmetic progression is called a Harmonic progression.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Concept #3 Geometric progression

Learning objectives

1. Defining G.P by recognizing common ratios
2. General form of G.P
3. Terms used in G.P
4. Identifying next term and precedig term of an 'n' th term of G.P
5. Finding the common ratio, a specific term and the last term of G.P
6. Formulating the formula 'n'th term of G.P , sum formula based on 'r', Sum of infinite formula,

Notes for teachers

1. A geometric progression is a sequence in which each succeeding term is obtained by multiplying the preceding term by a fixed number.
2. The ratio of a term and its preceeding term is called common ratio (r).

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.

Concept #4 Relation between A.M, G.M, H.M

Notes for teachers

These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.

Activities

1. Activity No #1 Concept Name - Activity No.
2. Activity No #2 Concept Name - Activity No.