Case 001: The Mysterious Sequence

1, 4, 9, ?

Pattern Theory | A Scientific Exploration
Sequence Solutions | The Answer is 16
Number Ninjas | The Stealthy Approach

Pattern 1: The Simple Sequence

1, 4, 9, 16, 25, 36, ?

Observe the Pattern:

1 = 1^2
4 = 2^2
9 = 3^2
16 = 4^2
25 = 5^2
36 = 6^2

7^2 = 49

Pattern 2: The Fibonacci Fiasco

1, 1, 2, 3, 5, 8, 13, ?

Notice the Pattern:

1 = 1 + 0
2 = 1 + 1

3 = 2 + 1

5 = 3 + 2

8 = 5 + 3

13 = 8 + 5

21 = 13 + 8

ประกCommittee of Conundrums | Number Games | Find the Pattern

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