For 100, dividing by 2 gives 50. Repeating this reduces it to 25, which becomes 76 (via 3n + 1). Following this path eventually leads to 1, validating the conjecture.
class 6 Mathematics Textbook Chapter 3 question answer
class 6 Mathematics Chapter 3 Number Play solutions
Applying the Collatz Conjecture to 100: Divide by 2 to get 50, then 25 (odd). Multiply 25 by 3 and add 1 to get 76. Continue the process as follows: 76 → 38 → 19 → 58 → 29 → 88 → 44 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1. The conjecture holds, as the sequence reaches 1.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
https://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/