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

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[Class 6] By imagining a large version of your picture, or drawing it - Relations among Number Sequences

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

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Question 2 By imagining a large version of your picture, or drawing it partially, as needed, can you see what will be the value of 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1?From our sequence, we notice that 1 = 1 1 + 2 + 1 = 4 = 22 1 + 2 + 3 + 2 + 1 = 9 = 32 1 + 2 + 3 + 4 + 3 + 2 + 1 = 16 = 42 1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1 = 25 = 52 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 36 = 62 So, it is the square of middle number Thus, 1 + 2 + 3 + ... + 99 + 100 + 99 + ... + 3 + 2 + 1 = 1002 = 10,000

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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