Aim
By paper cutting and pasting check whether the given sequence is an A.P. or not.
sequence I 4,7,10,13,...
sequence II 1,3,4,6,...
Material required
Coloured paper, a pair of scissors, glue, ruler, sketch pen
Procedure
step 1 Consider the given sequence.
Step 2 Cut rectangular strips of dimensions 4cmX 2cm, 7cmX 2cm, 10cmX 2cm, 13cmX 2cm. of different colours.
Step 3 Draw a straight line on a paper.
Step 4 Paste the rectangular strip of dimension 4cmX 2cm on the line such that the base of the strip touches the line.Step 5 Now take the rectangular strip of dimension 7cmX2cm and paste it adjacent to the previous strip without leaving any gap.
Step 6 Take the strip of dimension 10cmX2cm and paste it adjacent to the previous strip without leaving any gap.
Step 7 Similarly take the strip of dimension 13cmX2cm and paste it adjacent to the previous one as shown below.
Step 8 Take a thread and check the difference of heights between two consecutive rectangular strips.
Step 9 Write the observations.
Repeat the activity for the second sequence and write the result .
Answer the following questions:
1. Write a sequence which is an A.P.
2. What is the common difference of the sequence -2 , 0,2,4,6,……
3. Is 3,3,3,3,3……………… an A.P. ?
4. What is the common difference of a sequence of multiples of 100 ?
5. Is the sequence of odd natural numbers is an A.P.?
6. Check whether sequence having nth term 2n+3 will be an A.P. or not?
7. Write a sequence having common difference 7.
8. Check whether the given sequence is an A.P. or not. If it is an A.P. find the common difference
i) 10 , 10 , 10, 10……
ii) 1/2 , 1/4 , 1/8 , 1/16……
iii) 1, 0 , 1, 0 , 1, 0………….
By paper cutting and pasting check whether the given sequence is an A.P. or not.
sequence I 4,7,10,13,...
sequence II 1,3,4,6,...
Material required
Coloured paper, a pair of scissors, glue, ruler, sketch pen
Procedure
step 1 Consider the given sequence.
Step 2 Cut rectangular strips of dimensions 4cmX 2cm, 7cmX 2cm, 10cmX 2cm, 13cmX 2cm. of different colours.
Step 3 Draw a straight line on a paper.
Step 4 Paste the rectangular strip of dimension 4cmX 2cm on the line such that the base of the strip touches the line.Step 5 Now take the rectangular strip of dimension 7cmX2cm and paste it adjacent to the previous strip without leaving any gap.
Step 6 Take the strip of dimension 10cmX2cm and paste it adjacent to the previous strip without leaving any gap.
Step 7 Similarly take the strip of dimension 13cmX2cm and paste it adjacent to the previous one as shown below.
Step 8 Take a thread and check the difference of heights between two consecutive rectangular strips.
Step 9 Write the observations.
Repeat the activity for the second sequence and write the result .
Answer the following questions:
1. Write a sequence which is an A.P.
2. What is the common difference of the sequence -2 , 0,2,4,6,……
3. Is 3,3,3,3,3……………… an A.P. ?
4. What is the common difference of a sequence of multiples of 100 ?
5. Is the sequence of odd natural numbers is an A.P.?
6. Check whether sequence having nth term 2n+3 will be an A.P. or not?
7. Write a sequence having common difference 7.
8. Check whether the given sequence is an A.P. or not. If it is an A.P. find the common difference
i) 10 , 10 , 10, 10……
ii) 1/2 , 1/4 , 1/8 , 1/16……
iii) 1, 0 , 1, 0 , 1, 0………….
