Activity6 Study of Arithmatic Progression Class 10 th

Activity-6 Study of Arithmatic Progression Class 10 th Prepared & Presented By Mrs. Pramila Kumari Sahoo TGT, Mathematics JNV, Jagatsinghpur, Odisha

Objective To verify the given sequence is an arithmetic progression by paper cutting and pasting method

Pre-requisite Knowledge Understanding the concept of an Arithmetic Progression.

Theory Arithmetic Progression A sequence is said to be an arithmetic progression (sequence) if the difference between a term and its predecessor always remains constant. Examples are: 1, 2, 3, 4, 5, 6…………………. . 3, 7, 11, 15, 19, 23…………………. .

Materials Required • • • Colored Papers A Pair of Scissors Adhesive Geometry Box Sketch Pens Drawing Sheets

Procedure •

• Figure-1

• Figure-2

Observation We observe from the first figure that the adjoining strips have a common difference in lengths i. e. 3 cm and a ladder is formed in which the adjoining steps are constant. Hence it is an Arithmetic Progression. Figure-1

In the second figure the adjoining strips don’t have a common difference in lengths and thus the adjoining steps of ladder are not constant. Hence, it is not an arithmetic progression. Figure-2

Tabulated Observation: Figure-1 There a common Observation difference in lengths i. e. 3 cms. It is an Arithmetic Result Progression Figure-2 Do not have common difference in lengths. It is not an Arithmetic Progression

Result Sequence [A] is an Arithmetic Progression because common difference between the term and its predecessor remains constant. Sequence [B] is not an Arithmetic Progression because common difference between the term and its predecessor does not remain constant.

Thank You