Additional Questions and Answers
Exercise 5.1
Question $1 .$
Find the relationship between $x$ and $y$ if
Solution:
The relationship between $x$ and $y$ is $y=-5 x$
Question $2 .$
Find the relationship between $x$ and $y$ if
Solution:
The relationship between $x$ andy is $y=3 x+2$
Exercise $5.2$
Question $1 .$
Find the sum of the elements of Pascal's triangle and find the relationship between the numbers obtained.
Solution:
Pascal's triangle with sum of elements is given by
The numbers formed are $1,2,4,8,16,32,64, \ldots \ldots \ldots \ldots . .$
They can be written as $2^{0}, 2^{1}, 2^{2}, 2^{3}, 2^{4}, 2^{5}, 2^{6}$,
So they are the powers of base 2
The relationship is given by $2^{\mathrm{x}-1}$ if $\mathrm{x}$ represents the row.
Exercise $5.3$
Question 1.
If the following numbers are taken from Pascal's triangle find the missing numbers.
1. 9, 1,__ $=45,1,11$
2. $1,6, ___=1,4,15$
3. $21,8,1=___, 6,28$
Solutions:
1. 55
2. 10
3. 1