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![Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 5 - Information Processing - Shaalaa.com](/images/mathematics-term-2-english-class-7-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg "Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 5 - Information Processing")
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Solutions for Chapter 5: Information Processing
Below listed, you can find solutions for Chapter 5 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 2 [English] Class 7 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 5 Information Processing Exercise 5.1 [Pages 92 - 93]
Match the given patterns of shapes with the appropriate number pattern and its generalization.
| Column A |
Column B |
|
| (i) |  |
(a) Sequence: 5, 9, 13, 17 ... General form: y = 4n + 1 |
| (ii) |  |
(b) Sequence: 3, 4, 5, 6, ...
General form: y = x + 2 |
| (iii) |  |
(c) Sequence: 1, 4, 9, 16 ...
General form: y = n2 |
| (iv) |  |
(d) Sequence: 2, 4, 6, 8 ...
General form: y = 2n |
| (v) |  |
(e) Sequence: 4, 16, 36, 64 ...
General form: y = 4n2 |
Objective type questions
Identify the correct relationship between x andy from the given table.
| x | 1 | 2 | 3 | 4 | ... |
| y | 4 | 8 | 12 | 16 | ... |
y = 4x
y = x + 4
y = 4
y = 4 × 4
Identify the correct relationship between x and y from the given table.
| x | −2 | −1 | 0 | 1 | 2 | ... |
| y | 6 | 3 | 0 | −3 | −6 | ... |
y = −2x
y = +2x
y = +3x
y = −3x
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 5 Information Processing Exercise 5.2 [Page 97]
Complete the Pascal’s Triangle.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
The following hexagonal shapes are taken from Pascal’s Triangle. Fill in the missing numbers.
Complete the Pascal’s Triangle by taking the numbers 1, 2, 6, 20 as line of symmetry.
Objective type questions
The elements along the sixth row of the Pascal’s Triangle is
1, 5, 10, 5, 1
1, 5, 5, 1
1, 5, 5, 10, 5, 5, 1
1, 5, 10, 10, 5, 1
The difference between the consecutive terms of the fifth slanting row containing four elements of a Pascal’s Triangle is
3, 6, 10, …
4, 10, 20, …
1, 4, 10, …
1, 3, 6, …
What is the sum of the elements of nineth row in the Pascal’s Triangle?
128
254
256
126
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board 5 Information Processing Exercise 5.3 [Page 98]
Miscellaneous Practice problems
Choose the correct relationship between x and y from the given table.
| x | −2 | −1 | 0 | 1 | 2 | ... |
| y | 4 | 5 | 6 | 7 | 8 | ... |
y = x + 4
y = x + 5
y = x + 6
y = x + 7
Find the triangular numbers from the Pascal’s Triangle and colour them.
Write the first five numbers in the third slanting row of the Pascal’s Triangle and find their squares. What do you infer?
Challenge Problems
Tabulate and find the relationship between the variables (x and y) for the following patterns.
Tabulate and find the relationship between the variables (x and y) for the following patterns.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
Verify whether the following hexagonal shapes form a part of the Pascal’s Triangle.
Solutions for 5: Information Processing
Samacheer Kalvi solutions for Mathematics - Term 2 [English] Class 7 TN Board chapter 5 - Information Processing
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Concepts covered in Mathematics - Term 2 [English] Class 7 TN Board chapter 5 Information Processing are Tables and Patterns Leading to Linear Functions, Pascal’s Triangle.
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