Let’s solve each sequence step by step. We’ll find the pattern (rule) and then fill in the next four numbers.
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1) 0.5, 0.7, 0.9, ___, ___, ___, ___
Look at the difference between terms:
- 0.7 - 0.5 =
+0.2
- 0.9 - 0.7 =
+0.2
→ Rule:
+0.2
Next numbers:
- 0.9 + 0.2 =
1.1
- 1.1 + 0.2 =
1.3
- 1.3 + 0.2 =
1.5
- 1.5 + 0.2 =
1.7
✔ Sequence: 0.5, 0.7, 0.9,
1.1, 1.3, 1.5, 1.7
Rule:
+0.2
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2) 0.02, 0.04, 0.06, ___, ___, ___, ___
Differences:
- 0.04 - 0.02 =
+0.02
- 0.06 - 0.04 =
+0.02
→ Rule:
+0.02
Next:
- 0.06 + 0.02 =
0.08
- 0.08 + 0.02 =
0.10
- 0.10 + 0.02 =
0.12
- 0.12 + 0.02 =
0.14
✔ Sequence: 0.02, 0.04, 0.06,
0.08, 0.10, 0.12, 0.14
Rule:
+0.02
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3) -11, -6, -1, ___, ___, ___, ___
Differences:
- (-6) - (-11) =
+5
- (-1) - (-6) =
+5
→ Rule:
+5
Next:
- -1 + 5 =
4
- 4 + 5 =
9
- 9 + 5 =
14
- 14 + 5 =
19
✔ Sequence: -11, -6, -1,
4, 9, 14, 19
Rule:
+5
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4) 98, 89, 80, ___, ___, ___, ___
Differences:
- 89 - 98 =
-9
- 80 - 89 =
-9
→ Rule:
-9
Next:
- 80 - 9 =
71
- 71 - 9 =
62
- 62 - 9 =
53
- 53 - 9 =
44
✔ Sequence: 98, 89, 80,
71, 62, 53, 44
Rule:
-9
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5) 17, 21, 25, ___, ___, ___, ___
Differences:
- 21 - 17 =
+4
- 25 - 21 =
+4
→ Rule:
+4
Next:
- 25 + 4 =
29
- 29 + 4 =
33
- 33 + 4 =
37
- 37 + 4 =
41
✔ Sequence: 17, 21, 25,
29, 33, 37, 41
Rule:
+4
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6) 1, 1.5, 2, ___, ___, ___, ___
Differences:
- 1.5 - 1 =
+0.5
- 2 - 1.5 =
+0.5
→ Rule:
+0.5
Next:
- 2 + 0.5 =
2.5
- 2.5 + 0.5 =
3.0
- 3.0 + 0.5 =
3.5
- 3.5 + 0.5 =
4.0
✔ Sequence: 1, 1.5, 2,
2.5, 3.0, 3.5, 4.0
Rule:
+0.5
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7) 6, 6.25, 6.50, ___, ___, ___, ___
Differences:
- 6.25 - 6 =
+0.25
- 6.50 - 6.25 =
+0.25
→ Rule:
+0.25
Next:
- 6.50 + 0.25 =
6.75
- 6.75 + 0.25 =
7.00
- 7.00 + 0.25 =
7.25
- 7.25 + 0.25 =
7.50
✔ Sequence: 6, 6.25, 6.50,
6.75, 7.00, 7.25, 7.50
Rule:
+0.25
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8) -0.75, -1.50, -2.25, ___, ___, ___, ___
Differences:
- (-1.50) - (-0.75) =
-0.75
- (-2.25) - (-1.50) =
-0.75
→ Rule:
-0.75
Next:
- -2.25 - 0.75 =
-3.00
- -3.00 - 0.75 =
-3.75
- -3.75 - 0.75 =
-4.50
- -4.50 - 0.75 =
-5.25
✔ Sequence: -0.75, -1.50, -2.25,
-3.00, -3.75, -4.50, -5.25
Rule:
-0.75
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Final Answer:
1) 1.1, 1.3, 1.5, 1.7 — Rule: +0.2
2) 0.08, 0.10, 0.12, 0.14 — Rule: +0.02
3) 4, 9, 14, 19 — Rule: +5
4) 71, 62, 53, 44 — Rule: -9
5) 29, 33, 37, 41 — Rule: +4
6) 2.5, 3.0, 3.5, 4.0 — Rule: +0.5
7) 6.75, 7.00, 7.25, 7.50 — Rule: +0.25
8) -3.00, -3.75, -4.50, -5.25 — Rule: -0.75
Parent Tip: Review the logic above to help your child master the concept of sequence worksheet grade 5.
