Unit 1 · Patterns and Sequences

Hayden's Rule Chain — Four Steps from 14

Lesson 3 of 7

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About this lesson

Rule-based sequences make you apply the same if-then rule step after step — write each new number before moving on so you do not skip a transformation.

Chapters

0:00Introduction
0:22The Question
0:58Step 1 and Step 2 of the Process
1:29Step 3 and Step 4 (Completing the Sequence)
1:53Exam Strategy — The Step Tracker Table
2:27Confirming the Answer Choice

Question

Hayden starts with 14 and applies this rule four times:

  • If the number is even, divide by 2.
  • If the number is odd, multiply by 3 and add 1.

What number does he end up with?

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