Types of progressions

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= Concept Map =

Flash

= 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
Quiz Websites
 * 1) Maths is fun for Arithmetic progressions
 * 2) Maths is fun for Geometric progressions
 * 3) maths is fun all three types progression
 * 1) Quiz for Arithmetic Progressions
 * 2) Quiz for AP and GP

Reference Books
= 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

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 activity for arithmetic progression click here
 * 2) Activity No #2 activity for arithmetic progression click here

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 acivity for Harmonic progression click here
 * 2) Activity No #2 acivity for Harmonic progression click here

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 activity for Geometric progression click here
 * 2) Activity No #2 activity for Geometric progression click here

Learning objectives

 * 1) Formulating the formula for A.M, G.M and H.M
 * 2) Using formula to find mean of any two terms in A.P, G.P and H.P
 * 3) Relation between A.M, G.M and H.M

Notes for teachers

 * 1) Arithmetic mean of two numbers is equal to half of their sum.
 * 2) The harmonic mean of any two numbers is equal to twice their product divided by their sum.
 * 3) The Geometric mean of any numbers is square root of their product.
 * 4) Geometric mean is equal to square root of their product of arithmetic mean and harmonic mean/

Activities

 * 1) Activity No #1 activity to show relation between A.M, G.M, H.M click here
 * 2) Activity No #2 activity to show relation between A.M, G.M, H.M click here

=Assessment activities for CCE=

= Hints for difficult problems = Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .solution

= Project Ideas =

= Math Fun =