Mathematics Lab Activity-04 Class X
Mathematics Laboratory Activities on Arithmatic Progression for class X students with complete observation tables strictly according to the CBSE syllabus.
Chapter - 05
arithmatic progression
Activity - 04
Objective
To identify Arithmetic Progressions in some given lists of numbers (patterns).Material Required
Cardboard, white paper, pen/pencil, scissors, squared paper, glue.Procedure
1. Take a cardboard of a convenient size and paste a white paper on it. 2. Take two squared papers (graph paper) of suitable size and paste them on the cardboard.
3. Let the lists of numbers be(i) 1, 2, 5, 9, ....... (ii) 1, 4, 7, 10, ......
4. Make strips of lengths 1, 2, 5, 9 units and strips of lengths 1, 4, 7, 10 units and breadth of each strip one unit.
5. Paste the strips of lengths 1, 2, 5, 9 units as shown in Fig. 1
6. Paste the strips of lengths 1, 4, 7, 10 units as shown in Fig. 2.
7. In Fig. 1, the difference of heights (lengths) of two consecutive strips is not same (uniform). So, it is not an AP.
8. In Fig. 2, the difference of heights of two consecutive strips is the same (uniform) throughout. So, it is an AP.
Observations
Observations for strips of Fig.1
1. The difference of heights of first two strips = 1
2. The difference of heights of second and third strips = 3
3. The difference of heights of third and fourth strips = 4
4. Difference is NOT UNIFORM (uniform/not uniform)
5. So, the list of numbers 1, 2, 5, 9 DOES NOT form an AP.
Write the similar observations for strips of Fig.2.
6. In Fig. 2, the difference of heights of first two strips = 3
7. The difference of heights of second and third strips = 3
8. The difference of heights of third and fourth strips = 3
9. Difference is UNIFORM (uniform/not uniform)
10. So, the list of numbers 1, 4, 7, 10 form an AP.
Result
Sequence of numbers are said to be in AP if difference of any two consecutive terms remain same throughout the sequence.
Difference is called the common difference.
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