Ex $5.2$
Question $1 .$
Complete the Pascal's Triangle.
Question 2.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
Question $3 .$
Complete the Pascal's Triangle by taking the numbers 1,2,6,20 as line of symmetry.
Solution:
Corresponding numbers are equal about the line of symmetry.
Objective Type Questions
Question $1 .$
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) $1,5,10,10,5,1$
Question $2 .$
The difference between the consecutive terms of the fifth slanting row containing four elements of a Pascal's Triangle is
(i) $3,6,10, \ldots$
(ii) $4,10,20, \ldots$
(iii) $1,4,10, \ldots$
(iv) $1,3,6, \ldots$
Answer:
(ii) $4,10,20, \ldots$
Question $3 .$
What is the sum of the elements of ninth row in the Pascal's Triangle?
(i) 128
(ii) 254
(iii) 256
(iv) 126
Answer:
(iii) 256