Let's solve each Fibonacci-type sequence step by step. In a
Fibonacci-type sequence, each number is the
sum of the two previous numbers.
We'll go through each part:
---
i. 2, 4, 6, 10, ____, ____, ____
- 2 + 4 = 6
✔
- 4 + 6 = 10
✔
- 6 + 10 =
16
- 10 + 16 =
26
- 16 + 26 =
42
✔ So:
2, 4, 6, 10, 16, 26, 42
---
ii. 1, 4, 5, ____, ____, ____, ____
- 1 + 4 = 5
✔
- 4 + 5 =
9
- 5 + 9 =
14
- 9 + 14 =
23
- 14 + 23 =
37
✔ So:
1, 4, 5, 9, 14, 23, 37
---
iii. 5, 10, ____, ____, ____, ____, ____
- 5 + 10 =
15
- 10 + 15 =
25
- 15 + 25 =
40
- 25 + 40 =
65
- 40 + 65 =
105
✔ So:
5, 10, 15, 25, 40, 65, 105
---
iv. 8, 9, ____, ____, ____, ____, ____
- 8 + 9 =
17
- 9 + 17 =
26
- 17 + 26 =
43
- 26 + 43 =
69
- 43 + 69 =
112
✔ So:
8, 9, 17, 26, 43, 69, 112
---
v. 3, 6, ____, ____, ____, ____, ____
- 3 + 6 =
9
- 6 + 9 =
15
- 9 + 15 =
24
- 15 + 24 =
39
- 24 + 39 =
63
✔ So:
3, 6, 9, 15, 24, 39, 63
---
vi. 2, 9, ____, ____, ____, ____, ____
- 2 + 9 =
11
- 9 + 11 =
20
- 11 + 20 =
31
- 20 + 31 =
51
- 31 + 51 =
82
✔ So:
2, 9, 11, 20, 31, 51, 82
---
vii. 3, 4, ____, ____, ____, ____, ____
- 3 + 4 =
7
- 4 + 7 =
11
- 7 + 11 =
18
- 11 + 18 =
29
- 18 + 29 =
47
✔ So:
3, 4, 7, 11, 18, 29, 47
---
viii. 7, 8, ____, ____, ____, ____, ____
- 7 + 8 =
15
- 8 + 15 =
23
- 15 + 23 =
38
- 23 + 38 =
61
- 38 + 61 =
99
✔ So:
7, 8, 15, 23, 38, 61, 99
---
ix. 4, 5, ____, ____, ____, ____, ____
- 4 + 5 =
9
- 5 + 9 =
14
- 9 + 14 =
23
- 14 + 23 =
37
- 23 + 37 =
60
✔ So:
4, 5, 9, 14, 23, 37, 60
---
x. 2, 6, ____, ____, ____, ____, ____
- 2 + 6 =
8
- 6 + 8 =
14
- 8 + 14 =
22
- 14 + 22 =
36
- 22 + 36 =
58
✔ So:
2, 6, 8, 14, 22, 36, 58
---
xi. 2, 10, ____, ____, ____, ____, ____
- 2 + 10 =
12
- 10 + 12 =
22
- 12 + 22 =
34
- 22 + 34 =
56
- 34 + 56 =
90
✔ So:
2, 10, 12, 22, 34, 56, 90
---
✔ Final Answers:
| Sequence | Completed Numbers |
|--------|-------------------|
| i. | 2, 4, 6, 10,
16,
26,
42 |
| ii. | 1, 4, 5,
9,
14,
23,
37 |
| iii. | 5, 10,
15,
25,
40,
65,
105 |
| iv. | 8, 9,
17,
26,
43,
69,
112 |
| v. | 3, 6,
9,
15,
24,
39,
63 |
| vi. | 2, 9,
11,
20,
31,
51,
82 |
| vii. | 3, 4,
7,
11,
18,
29,
47 |
| viii. | 7, 8,
15,
23,
38,
61,
99 |
| ix. | 4, 5,
9,
14,
23,
37,
60 |
| x. | 2, 6,
8,
14,
22,
36,
58 |
| xi. | 2, 10,
12,
22,
34,
56,
90 |
---
🔍 Explanation:
Each term is the sum of the
two preceding terms, just like in the Fibonacci sequence. For example, in sequence (ii):
- Start with 1 and 4 → next is 1+4=5
- Then 4+5=9, then 5+9=14, etc.
This pattern continues throughout all sequences.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of place value sequencing worksheet.
