Let’s solve each question step by step.
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Question 1: What is the next number in this pattern?
Pattern: 120, 142, 164, 186, 208, ____
Look at the difference between each number:
- 142 - 120 =
22
- 164 - 142 =
22
- 186 - 164 =
22
- 208 - 186 =
22
So, we’re adding 22 each time.
Next number: 208 + 22 =
230
✔ Answer for Q1:
D) 230
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Question 2: What is the rule for Question 1?
We just saw that each number increases by 22.
So the rule is:
+22
✔ Answer for Q2:
D) the rule is +22
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Question 3: What is the next number in this pattern?
Pattern: 975, 930, 885, 840, ____
Find the difference:
- 930 - 975 =
-45
- 885 - 930 =
-45
- 840 - 885 =
-45
So, subtracting 45 each time.
Next number: 840 - 45 =
795
✔ Answer for Q3:
C) 795
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Question 4: What is the rule for Question 3?
We subtracted 45 each time → so the rule is
-45
✔ Answer for Q4:
D) -45
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Question 5: What is the next number in this pattern?
Pattern: 14, 28, ____, 56
Let’s look at what’s happening:
From 14 to 28 → that’s ×2 (or +14)
If we add 14 again: 28 + 14 =
42
Then 42 + 14 = 56 → which matches!
So the missing number is
42
✔ Answer for Q5:
C) 42
*(Note: It could also be seen as multiplying by 2 each time: 14×2=28, 28×2=5
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet grade 6.