Use the systematic method to write down all 6-beat rhythms, i.e., write 6 as the sum Class 7

Use the systematic method to write down all 6-beat rhythms, i.e., write 6 as the sum Class 7

Question 1.

Use the systematic method to write down all 6-beat rhythms, i.e., write 6 as the sum of 1’s and 2’s in all possible ways. Did you get 13 ways? Class 7

Solution:

6-beat rhythms are as shown below :

1 + 1 + 1 + 1 + 1 + 1, 1 + 1 + 1 + 2 + 1,

1 + 1 + 1 + 1 + 2, 1 + 1 + 2 + 1 + 1,

1 + 2 + 1 + 1 + 1, 1 + 1 + 2 + 2,

2 + 1 + 1 + 1 + 1, 2 + 1 + 1 + 2,

1 + 2 + 1 + 2, 2 + 2 + 2, 1 + 2 + 2 +1,

2 + 2 + 1 + 1 and 2 + 1 + 2 + 1

Yes.

Question 2.

Write the next 3 numbers in the sequence: Class 7

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ____, _____, ___, .....

Solution:

Numbers are 144, 233, 377.

Question 3.

What is the parity of each number in the sequence? Do you notice any pattern in the sequence of parities? Class 7

Solution:

Parity is as shown below :

Odd, even, odd, odd, even, odd, odd, even, odd, odd and so on.

Yes. Pattern in the sequence of parities is one even followed by two odds (except the first parity).