Exercise 5.2
1. Complete the Pascal’s Triangle.
Solution:
2. The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
Solution:
3. Complete the Pascal’s Triangle by taking the numbers 1,2,6,20 as line of symmetry.
Solution:
4. The elements along the sixth row of the Pascal’s Triangle is
(i) 1,5,10,5,1
(ii) 1,5,5,1
(iii) 1,5,5,10,5,5,1
(iv) 1,5,10,10,5,1
Answer: (iv) 1, 5, 10, 10, 5, 1
5. The difference between the consecutive terms of the fifth slanting row containing four elements of a Pascal’s Triangle is
(i) 3,6,10,…
(ii) 4,10,20,…
(iii) 1,4,10,…
(iv) 1,3,6,…
Answer: (ii) 4, 10, 20,………
6. What is the sum of the elements of nineth row in the Pascal’s Triangle?
(i) 128
(ii) 254
(iii) 256
(iv) 126
Answer: (iii)
256
ANSWERS:
Exercise 5.2
1.
2.
3.
Objective type questions
4. (iv) 1,5,10,10,5,1
5. (ii) 4,10,20,...
6. (iii) 256
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