Question 8 - Relations among Number Sequences - Chapter 1 Class 6 - Patterns in Mathematics (Ganita Prakash)

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[Class 6] What happens when you start to add up hexagonal numbers - Relations among Number Sequences

part 2 - Question 8 - Relations among Number Sequences - Chapter 1 Class 6 - Patterns in Mathematics (Ganita Prakash) - Class 6 (Ganit Prakash)

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Question 8 What happens when you start to add up hexagonal numbers, i.e., take 1, 1 + 7, 1 + 7 + 19, 1 + 7 + 19 + 37, … ? Which sequence do you get? Can you explain it using a picture of a cube?Hexagonal numbers are 1, 7, 19, 37, 61, ... Let’s add them step-by-step: 1 = 1 1 + 7 = 8 1 + 7 + 19 = 27 1 + 7 + 19 + 37 = 64 So, we get sequence 1, 8, 27, 64, … Which is 13, 23, 33, 43, …. Thus, we get cube sequence Lets explain it using picture of cube If we add hexagonal numbers Arrange it Then we get a cube

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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