Class 6 (Ganit Prakash)
Chapter 1 Class 6 - Patterns in Mathematics (Ganita Prakash)

Count the number of lines in each shape in the sequence of Complete - Relation of Shape Sequences to Number Sequences

part 2 - Question 2 - Relation of Shape Sequences to Number Sequences - Chapter 1 Class 6 - Patterns in Mathematics (Ganita Prakash) - Class 6 (Ganit Prakash)

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Question 2 Count the number of lines in each shape in the sequence of Complete Graphs. Which number sequence do you get? Can you explain why?Number of Lines in Complete Graphs: Number of lines are 1, 3, 6, 10, 15 So, the sequence is: 1, 3, 6, 10, 15, ... Which is triangular number sequence Explanation: Each line connects two different points. The total number of such pairs among n points is:​ Number of lines = (𝑛(𝑛 − 1))/2 This sequence is known as the Triangular Numbers.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo