Tabulate the 3 rd slanting row of the Pascal's Triangle by taking the position of the numbers in the slanting row as x and the corresponding values as y. X 1 2 3 4 5 6 ... Y 1 3 6 10 15 21 ... Verify whether the relationship, y = x ( x + 1 ) 2 between x and y for the given values is true.

Observe the table carefully. To verify the relationship between x and y, let us substitute the values of x and get the values of y. If x = 1 , y = 1 ( 1 + 1 ) 2 = 2 2 = 1 If x = 2 , y = 2 ( 2 + 1 ) 2 = 6 2 = 3 If x = 3 , y = 3 ( 3 + 1 ) 2 = 12 2 = 6 If x = 4 , y = 4 ( 4 + 1 ) 2 = 20 2 = 10 If x = 5 , y = 5 ( 5 + 1 ) 2 = 30 2 = 15 Hence, y = x ( x + 1 ) 2 is verified.

E M B I B E

Mathematics Standard 7 Term Il>Chapter 5 - Information Processing>Example 5.2

Tamil Nadu Board Solutions for Chapter: Information Processing, Exercise 2: Example 5.2

Author:Tamil Nadu Board

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Information Processing, Exercise 2: Example 5.2

Attempt the free practice questions on Chapter 5: Information Processing, Exercise 2: Example 5.2 with hints and solutions to strengthen your understanding. Mathematics Standard 7 Term Il solutions are prepared by Experienced Embibe Experts.

Questions from Tamil Nadu Board Solutions for Chapter: Information Processing, Exercise 2: Example 5.2 with Hints & Solutions

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7th Tamil Nadu Board

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Mathematics Standard 7 Term Il>Chapter 5 - Information Processing>Example 5.2>Q 2

Tabulate the $3^{rd}$ slanting row of the Pascal's Triangle by taking the position of the numbers in the slanting row as x and the corresponding values as y.