Let's solve each of these number pattern questions step by step and explain the reasoning behind each answer.
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Question 1:
Pattern: 2, 5, 8, 11, ...
Step-by-step:
Look at the differences between consecutive terms:
- 5 - 2 = 3
- 8 - 5 = 3
- 11 - 8 = 3
So, this is an
arithmetic sequence with a common difference of
+3.
Next two numbers:
- 11 + 3 =
14
- 14 + 3 =
17
✔ Answer: A) 14, 17
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Question 2:
Pattern: 2, 6, 10, 14, ...
Differences:
- 6 - 2 = 4
- 10 - 6 = 4
- 14 - 10 = 4
Common difference =
+4
Next two numbers:
- 14 + 4 =
18
- 18 + 4 =
22
✔ Answer: C) 18, 22
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Question 3:
Pattern: 2, 7, 12, 17, ...
Differences:
- 7 - 2 = 5
- 12 - 7 = 5
- 17 - 12 = 5
Common difference =
+5
Next two numbers:
- 17 + 5 =
22
- 22 + 5 =
27
✔ Answer: B) 22, 27
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Question 4:
Pattern: 3, 7, 11, 15, ...
Differences:
- 7 - 3 = 4
- 11 - 7 = 4
- 15 - 11 = 4
Common difference =
+4
Next two numbers:
- 15 + 4 =
19
- 19 + 4 =
23
✔ Answer: C) 19, 23
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Question 5:
Pattern: 3, 8, 13, 18, ...
Differences:
- 8 - 3 = 5
- 13 - 8 = 5
- 18 - 13 = 5
Common difference =
+5
Next two numbers:
- 18 + 5 =
23
- 23 + 5 =
28
✔ Answer: C) 23, 28
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Question 6:
Pattern: 3, 9, 15, 21, ...
Differences:
- 9 - 3 = 6
- 15 - 9 = 6
- 21 - 15 = 6
Common difference =
+6
Next two numbers:
- 21 + 6 =
27
- 27 + 6 =
33
But wait — none of the options show
27, 33. Let’s check the choices:
> (A) 27, 33
> (B) 27, 39
> (C) 33, 39
> (D) 27, 39
Wait — actually, in your image, only up to question 6 is visible, but the options aren't shown fully. But based on standard patterns, let's assume the options are:
A) 27, 33
B) 27, 39
C) 33, 39
D) 27, 33 → maybe duplicate?
But from our calculation:
- 21 + 6 = 27
- 27 + 6 = 33
✔ So next two numbers:
27, 33
If option
A is 27, 33 → then that’s correct.
Assuming the choices include
A) 27, 33, that would be the correct answer.
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✔ Final Answers:
1.
A) 14, 17
2.
C) 18, 22
3.
B) 22, 27
4.
C) 19, 23
5.
C) 23, 28
6.
A) 27, 33 *(assuming it's listed)*
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🔍 Pattern Summary:
All these sequences are
arithmetic sequences where each term increases by a constant amount:
- Q1: +3
- Q2: +4
- Q3: +5
- Q4: +4
- Q5: +5
- Q6: +6
Just find the common difference and apply it twice to get the next two numbers.
Let me know if you want help with the remaining questions (7–10)!
Parent Tip: Review the logic above to help your child master the concept of patterns worksheet grade 5.
