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?

Adding powers of 2 gives cumulative totals (1, 3, 7, 15…). Adding 1 to these results forms powers of 2 (2, 4, 8…). This happens because sums approach the next power minus one.

class 6 Mathematics Textbook Chapter 1 question answer

class 6 Mathematics Chapter 1 Patterns in Mathematics solutions