Let’s solve each Fibonacci-type sequence step by step.
Remember: In a Fibonacci-type sequence,
each number is the sum of the two numbers before it.
---
i. Already done:
2, 4, 6, 10, 16, 26, 42
Check:
2 + 4 = 6
4 + 6 = 10
6 + 10 = 16
10 + 16 = 26
16 + 26 = 42
✔
---
ii. Start with: 1, 4, 5
Next: 4 + 5 =
9
Then: 5 + 9 =
14
Then: 9 + 14 =
23
Then: 14 + 23 =
37
→ Sequence: 1, 4, 5,
9, 14, 23, 37
---
iii. Start with: 5, 10
Next: 5 + 10 =
15
Then: 10 + 15 =
25
Then: 15 + 25 =
40
Then: 25 + 40 =
65
Then: 40 + 65 =
105
→ Sequence: 5, 10,
15, 25, 40, 65, 105
---
iv. Start with: 8, 9
Next: 8 + 9 =
17
Then: 9 + 17 =
26
Then: 17 + 26 =
43
Then: 26 + 43 =
69
Then: 43 + 69 =
112
→ Sequence: 8, 9,
17, 26, 43, 69, 112
---
v. Start with: 3, 6
Next: 3 + 6 =
9
Then: 6 + 9 =
15
Then: 9 + 15 =
24
Then: 15 + 24 =
39
Then: 24 + 39 =
63
→ Sequence: 3, 6,
9, 15, 24, 39, 63
---
vi. Start with: 2, 9
Next: 2 + 9 =
11
Then: 9 + 11 =
20
Then: 11 + 20 =
31
Then: 20 + 31 =
51
Then: 31 + 51 =
82
→ Sequence: 2, 9,
11, 20, 31, 51, 82
---
vii. Start with: 3, 4
Next: 3 + 4 =
7
Then: 4 + 7 =
11
Then: 7 + 11 =
18
Then: 11 + 18 =
29
Then: 18 + 29 =
47
→ Sequence: 3, 4,
7, 11, 18, 29, 47
---
viii. Start with: 7, 8
Next: 7 + 8 =
15
Then: 8 + 15 =
23
Then: 15 + 23 =
38
Then: 23 + 38 =
61
Then: 38 + 61 =
99
→ Sequence: 7, 8,
15, 23, 38, 61, 99
---
ix. Start with: 4, 5
Next: 4 + 5 =
9
Then: 5 + 9 =
14
Then: 9 + 14 =
23
Then: 14 + 23 =
37
Then: 23 + 37 =
60
→ Sequence: 4, 5,
9, 14, 23, 37, 60
---
x. Start with: 2, 6
Next: 2 + 6 =
8
Then: 6 + 8 =
14
Then: 8 + 14 =
22
Then: 14 + 22 =
36
Then: 22 + 36 =
58
→ Sequence: 2, 6,
8, 14, 22, 36, 58
---
xi. Start with: 2, 10
Next: 2 + 10 =
12
Then: 10 + 12 =
22
Then: 12 + 22 =
34
Then: 22 + 34 =
56
Then: 34 + 56 =
90
→ Sequence: 2, 10,
12, 22, 34, 56, 90
---
Final Answer:
ii. 9, 14, 23, 37
iii. 15, 25, 40, 65, 105
iv. 17, 26, 43, 69, 112
v. 9, 15, 24, 39, 63
vi. 11, 20, 31, 51, 82
vii. 7, 11, 18, 29, 47
viii. 15, 23, 38, 61, 99
ix. 9, 14, 23, 37, 60
x. 8, 14, 22, 36, 58
xi. 12, 22, 34, 56, 90
Parent Tip: Review the logic above to help your child master the concept of sequence worksheet for 5th grade.
