In this lesson, you will learn about a famous maths problem called Gabriel's problem.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oakโs terms & conditions (Collection 1), except where otherwise stated.

A sequence is defined as follows: Start with any positive integer value (๐). Each term is found from the previous term as follows: If the value is even, divide it by 2 (๐/2). If the value is odd, multiply it by 3 and add 1 (3๐+1).

Q2.

If the first term of the sequence is 30, what would the second term be?

100

Correct answer: 15

15

60

91

Q3.

If the second term of the sequence is 30, what would could the first term be?

100

15

Correct answer: 60

60

91

Q4.

Fill in the gap: The Collatz conjecture states: no matter the start number (๐), the sequence will always reach __________.