You're working on a
Fibonacci-type sequence worksheet. The key rule is:
>
Each number is the sum of the two previous numbers.
Let’s solve each sequence one by one.
---
i. 2, 4, 6, 10, __, __, __
Already solved in red:
- 6 + 10 =
16
- 10 + 16 =
26
- 16 + 26 =
42
✔ So:
16, 26, 42
---
ii. 1, 4, 5, __, __, __, __
- 4 + 5 =
9
- 5 + 9 =
14
- 9 + 14 =
23
- 14 + 23 =
37
✔ So:
9, 14, 23, 37
---
iii. 5, 10, __, __, __, __, __
- 5 + 10 =
15
- 10 + 15 =
25
- 15 + 25 =
40
- 25 + 40 =
65
✔ So:
15, 25, 40, 65
---
iv. 8, 9, __, __, __, __, __
- 8 + 9 =
17
- 9 + 17 =
26
- 17 + 26 =
43
- 26 + 43 =
69
✔ So:
17, 26, 43, 69
---
v. 3, 6, __, __, __, __, __
- 3 + 6 =
9
- 6 + 9 =
15
- 9 + 15 =
24
- 15 + 24 =
39
✔ So:
9, 15, 24, 39
---
vi. 2, 9, __, __, __, __, __
- 2 + 9 =
11
- 9 + 11 =
20
- 11 + 20 =
31
- 20 + 31 =
51
✔ So:
11, 20, 31, 51
---
vii. 3, 4, __, __, __, __, __
- 3 + 4 =
7
- 4 + 7 =
11
- 7 + 11 =
18
- 11 + 18 =
29
✔ So:
7, 11, 18, 29
---
viii. 7, 8, __, __, __, __, __
- 7 + 8 =
15
- 8 + 15 =
23
- 15 + 23 =
38
- 23 + 38 =
61
✔ So:
15, 23, 38, 61
---
ix. 4, 5, __, __, __, __, __
- 4 + 5 =
9
- 5 + 9 =
14
- 9 + 14 =
23
- 14 + 23 =
37
✔ So:
9, 14, 23, 37
---
x. 2, 6, __, __, __, __, __
- 2 + 6 =
8
- 6 + 8 =
14
- 8 + 14 =
22
- 14 + 22 =
36
✔ So:
8, 14, 22, 36
---
xi. 2, 10, __, __, __, __, __
- 2 + 10 =
12
- 10 + 12 =
22
- 12 + 22 =
34
- 22 + 34 =
56
✔ So:
12, 22, 34, 56
---
##
✔ Final Answers:
i. 16, 26, 42
ii. 9, 14, 23, 37
iii. 15, 25, 40, 65
iv. 17, 26, 43, 69
v. 9, 15, 24, 39
vi. 11, 20, 31, 51
vii. 7, 11, 18, 29
viii. 15, 23, 38, 61
ix. 9, 14, 23, 37
x. 8, 14, 22, 36
xi. 12, 22, 34, 56
---
💡
Tip: Always check that each new number is the
sum of the two before it — that’s the Fibonacci rule! This pattern appears in nature, art, and math — fun to spot!
Let me know if you want to visualize or graph any of these sequences!
Parent Tip: Review the logic above to help your child master the concept of fibonacci sequence worksheet.
