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

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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 (Ganita Prakash & Old NCERT)

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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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