Let’s solve this step by step.
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Part A: Match the sequence to the pattern
We need to find what operation turns one number into the next in each sequence, then match it to Column B.
1)
1, 3, 9, 27, 81
→ 1 × 3 = 3
→ 3 × 3 = 9
→ 9 × 3 = 27
→ 27 × 3 = 81
✔ Rule:
× 3 → Matches
E
2)
77, 71, 65, 59, 53
→ 77 - 6 = 71
→ 71 - 6 = 65
→ 65 - 6 = 59
→ 59 - 6 = 53
✔ Rule:
-6 → Matches
D
3)
16875, 3375, 675, 135
→ 16875 ÷ 5 = 3375
→ 3375 ÷ 5 = 675
→ 675 ÷ 5 = 135
✔ Rule:
÷ 5 → Matches
C
4)
35, 44, 53, 62
→ 35 + 9 = 44
→ 44 + 9 = 53
→ 53 + 9 = 62
✔ Rule:
+9 → Matches
B
5)
104, 96, 88, 80
→ 104 - 8 = 96
→ 96 - 8 = 88
→ 88 - 8 = 80
✔ Rule:
-8 → Matches
A
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Part B: Give the rule for each sequence
6)
80, 40, 20, 10, 5
→ 80 ÷ 2 = 40
→ 40 ÷ 2 = 20
→ 20 ÷ 2 = 10
→ 10 ÷ 2 = 5
✔ Rule:
÷ 2
7)
1024, 256, 64, 16
→ 1024 ÷ 4 = 256
→ 256 ÷ 4 = 64
→ 64 ÷ 4 = 16
✔ Rule:
÷ 4
8)
32, 64, 128, 256, 512
→ 32 × 2 = 64
→ 64 × 2 = 128
→ 128 × 2 = 256
→ 256 × 2 = 512
✔ Rule:
× 2
9)
23, 18, 13, 8, 3
→ 23 - 5 = 18
→ 18 - 5 = 13
→ 13 - 5 = 8
→ 8 - 5 = 3
✔ Rule:
-5
10)
35, 105, 315, 945
→ 35 × 3 = 105
→ 105 × 3 = 315
→ 315 × 3 = 945
✔ Rule:
× 3
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Final Answer:
A. 1) E, 2) D, 3) C, 4) B, 5) A
B. 6) ÷ 2, 7) ÷ 4, 8) × 2, 9) -5, 10) × 3
Parent Tip: Review the logic above to help your child master the concept of sequence worksheet for 5th grade.
