Colorful math worksheet featuring eight rows of candy-themed number sequences where students must identify the missing Fibonacci number.

Actually, there’s a critical error in the problem statement.

The worksheet says:
> “Find the missing Fibonacci Number of the following:”

But none of these sequences are Fibonacci sequences — not even close.

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🍬 What *is* a Fibonacci sequence?

A true Fibonacci sequence starts with 0 and 1 (or sometimes 1 and 1), and each next number is the sum of the two previous numbers:

Classic Fibonacci:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

Or sometimes starting at 1:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...

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🔍 Let’s examine each row to see what’s really going on

We’ll look for patterns, since the “Fibonacci” label is misleading.

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#### Row 1: ? , 11, 18, 29, 47
Check differences:
18 - 11 = 7
29 - 18 = 11
47 - 29 = 18

→ The differences are: 7, 11, 18 — which are the same as the sequence itself shifted!

So:
If we assume this follows the pattern:
Each term = sum of two previous terms → Fibonacci-style recurrence

Let’s test:
Let first missing number = x

Then:
x + 11 = 18 → x = 7

Check:
11 + 18 = 29 ✔
18 + 29 = 47 ✔

✔ So missing number = 7

*(Note: This is a Fibonacci-type sequence, but not the classic one. It’s a linear recurrence: aₙ = aₙ₋₁ + aₙ₋₂)*

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#### Row 2: 13, ? , 34, 55, 89
Check:
34 + 55 = 89 ✔
So likely:
? + 34 = 55 → ? = 21

Check:
13 + 21 = 34 ✔

✔ Missing number = 21

*(This is part of the classic Fibonacci sequence: 13, 21, 34, 55, 89)*

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#### Row 3: 3, 5, ? , 13, 21
Classic Fibonacci:
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21 ✔

✔ Missing number = 8

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#### Row 4: 5, 10, 15, ? , 40
Differences:
10 - 5 = 5
15 - 10 = 5
? - 15 = ?
40 - ? = ?

Wait — 5, 10, 15 → increasing by 5? Then next should be 20? But then 20 to 40 is +20 — doesn’t fit.

Try Fibonacci-style:
15 + ? = 40 → ? = 25? Then check:
10 + 15 = 25 ✔
15 + 25 = 40 ✔

✔ Missing number = 25

*(Again, Fibonacci recurrence: each term = sum of two before)*

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#### Row 5: 8, 12, 20, 32, ?
Check:
8 + 12 = 20 ✔
12 + 20 = 32 ✔
20 + 32 = 52

✔ Missing number = 52

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#### Row 6: 4, 9, 13, ? , 35
Check:
4 + 9 = 13 ✔
9 + 13 = 22
13 + 22 = 35 ✔

✔ Missing number = 22

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#### Row 7: 15, 23, ? , 61, 99
Check:
15 + 23 = 38 → let’s try that
23 + 38 = 61 ✔
38 + 61 = 99 ✔

✔ Missing number = 38

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#### Row 8: 1, ? , 2, 3, 5
Classic Fibonacci!
1, 1, 2, 3, 5 → so missing number = 1

Check:
1 + 1 = 2 ✔
1 + 2 = 3 ✔
2 + 3 = 5 ✔

✔ Missing number = 1

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## ✔ Final Answers:

| Row | Missing Number |
|-----|----------------|
| 1 | 7 |
| 2 | 21 |
| 3 | 8 |
| 4 | 25 |
| 5 | 52 |
| 6 | 22 |
| 7 | 38 |
| 8 | 1 |

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## 🧠 Summary:

Although the worksheet incorrectly calls these “Fibonacci Numbers,” they are actually sequences following the Fibonacci recurrence rule:
> Each number = sum of the two preceding numbers.

This is a common educational trick — teaching the *pattern*, not necessarily the *classic sequence*.

So while the title is misleading, the math is consistent and solvable!

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🎉 All missing numbers found!
You can now fill in the candies with:
7, 21, 8, 25, 52, 22, 38, 1

Happy candy hunting! 🍬