Let's solve each sequence step by step and identify the pattern to fill in the missing numbers.
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1. 13, 25, 37, ____, ____, ____, ____, ______
Step 1: Look at the differences between terms:
- 25 - 13 = 12
- 37 - 25 = 12
So, the pattern is
adding 12 each time.
Next terms:
- 37 + 12 =
49
- 49 + 12 =
61
- 61 + 12 =
73
- 73 + 12 =
85
- 85 + 12 =
97
✔ Answer: 13, 25, 37,
49,
61,
73,
85,
97
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2. 20, 31, 42, ____, ____, ____, ____, ______
Differences:
- 31 - 20 = 11
- 42 - 31 = 11
Pattern:
+11 each time.
Next terms:
- 42 + 11 =
53
- 53 + 11 =
64
- 64 + 11 =
75
- 75 + 11 =
86
- 86 + 11 =
97
✔ Answer: 20, 31, 42,
53,
64,
75,
86,
97
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3. 26, 23, 20, ____, ____, ____, ____, ______
Differences:
- 23 - 26 = -3
- 20 - 23 = -3
Pattern:
subtracting 3 each time.
Next terms:
- 20 - 3 =
17
- 17 - 3 =
14
- 14 - 3 =
11
- 11 - 3 =
8
- 8 - 3 =
5
✔ Answer: 26, 23, 20,
17,
14,
11,
8,
5
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4. 11, 17, 23, ____, ____, ____, ____, ______
Differences:
- 17 - 11 = 6
- 23 - 17 = 6
Pattern:
+6 each time.
Next terms:
- 23 + 6 =
29
- 29 + 6 =
35
- 35 + 6 =
41
- 41 + 6 =
47
- 47 + 6 =
53
✔ Answer: 11, 17, 23,
29,
35,
41,
47,
53
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5. -16, -9, -2, ____, ____, ____, ____, ______
Differences:
- -9 - (-16) = 7
- -2 - (-9) = 7
Pattern:
+7 each time.
Next terms:
- -2 + 7 =
5
- 5 + 7 =
12
- 12 + 7 =
19
- 19 + 7 =
26
- 26 + 7 =
33
✔ Answer: -16, -9, -2,
5,
12,
19,
26,
33
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6. 133, 130, 127, ____, ____, ____, ____, ______
Differences:
- 130 - 133 = -3
- 127 - 130 = -3
Pattern:
-3 each time.
Next terms:
- 127 - 3 =
124
- 124 - 3 =
121
- 121 - 3 =
118
- 118 - 3 =
115
- 115 - 3 =
112
✔ Answer: 133, 130, 127,
124,
121,
118,
115,
112
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7. -25, -20, -15, ____, ____, ____, ____, ______
Differences:
- -20 - (-25) = 5
- -15 - (-20) = 5
Pattern:
+5 each time.
Next terms:
- -15 + 5 =
-10
- -10 + 5 =
-5
- -5 + 5 =
0
- 0 + 5 =
5
- 5 + 5 =
10
✔ Answer: -25, -20, -15,
-10,
-5,
0,
5,
10
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✔ Final Answers:
1.
13, 25, 37, 49, 61, 73, 85, 97
2.
20, 31, 42, 53, 64, 75, 86, 97
3.
26, 23, 20, 17, 14, 11, 8, 5
4.
11, 17, 23, 29, 35, 41, 47, 53
5.
-16, -9, -2, 5, 12, 19, 26, 33
6.
133, 130, 127, 124, 121, 118, 115, 112
7.
-25, -20, -15, -10, -5, 0, 5, 10
All sequences follow an
arithmetic progression with a constant difference between consecutive terms.
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet year 5.
