Additional Questions - Chapter 5 - Information Processing - Term 2 - 7th Maths Guide Samacheer Kalvi Solutions

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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