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

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Question 6 What happens when you start to add up powers of 2 starting with 1, i.e., take 1, 1 + 2, 1 + 2 + 4, 1 + 2 + 4 + 8, … ? Now add 1 to each of these numbers-what numbers do you get? Why does this happen?Let’s add powers of 2 Why does this happen? This is a famous pattern in mathematics 1 + 2 + 23 + 24 + …. 2n = 2n+1 – 1 Thus, when we add 1, We get 2n+1