Unit 1 · Patterns and Sequences
Claudia's Pattern — Solve for X, Y, Then Z
Lesson 7 of 7
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About this lesson
Each number (from the 4th) = the three before it added together. Write equations for Y and the known term (6), solve for X, then find Z in one more step.
Chapters
0:00Introduction
0:22The Question
1:04Expressing Y in Terms of X
1:35Solving for X and Y
2:10Calculating the Target Number Z
2:41Confirming the Final Option
Question
Claudia makes a number pattern using these rules:
- Choose the first three numbers.
- After this, each number is the sum of the three numbers before it.
Here is Claudia’s pattern with three missing numbers labelled X, Y and Z.
2, X, 0, Y, 6, Z
All the numbers are whole numbers.
What number does Z represent?
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