Question
Question 3 | Number Sequences Fill in the missing numbers in each. a) \( 845 ; 865 ; 885 ; 90.5 \ldots . \ldots \ldots .2 .9 \) b) \( 1528 ; 1578 ; 1628 ; \ldots \ldots . . \ldots \ldots \).
Ask by Lowe Martin. in South Africa
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**a)** The missing numbers are 905, 925, 945, 965, 985, etc.
**b)** The missing numbers are 1678, 1728, 1778, etc.
Solution
Sure, let's analyze and fill in the missing numbers for each sequence.
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### **a) \( 845 ; 865 ; 885 ; 905 ; \ldots ; \ldots ; 969 ; 989 \)**
**Pattern Analysis:**
1. **Identify the Pattern:**
- **From 845 to 865:** \( 865 - 845 = 20 \)
- **From 865 to 885:** \( 885 - 865 = 20 \)
- **From 885 to 905:** \( 905 - 885 = 20 \)
The sequence increases by **20** each time.
2. **Continue the Pattern:**
- **After 905:** \( 905 + 20 = 925 \)
- **After 925:** \( 925 + 20 = 945 \)
- **After 945:** \( 945 + 20 = 965 \)
- **After 965:** \( 965 + 20 = 985 \)
- And so on...
3. **Filled Sequence:**
\[
845 ; 865 ; 885 ; 905 ; 925 ; 945 ; 965 ; 985 ; \ldots
\]
---
### **b) \( 1528 ; 1578 ; 1628 ; \ldots ; \ldots ; \ldots \)**
**Pattern Analysis:**
1. **Identify the Pattern:**
- **From 1528 to 1578:** \( 1578 - 1528 = 50 \)
- **From 1578 to 1628:** \( 1628 - 1578 = 50 \)
The sequence increases by **50** each time.
2. **Continue the Pattern:**
- **After 1628:** \( 1628 + 50 = 1678 \)
- **After 1678:** \( 1678 + 50 = 1728 \)
- **After 1728:** \( 1728 + 50 = 1778 \)
- And so on...
3. **Filled Sequence:**
\[
1528 ; 1578 ; 1628 ; 1678 ; 1728 ; 1778 ; \ldots
\]
---
### **Final Answer:**
**a)** The missing numbers are **905**, **925**, **945**, **965**, **985**, etc.
**b)** The missing numbers are **1678**, **1728**, **1778**, etc.
---
Feel free to ask if you need further clarification or additional assistance!
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Alright, let's dive into the number sequences like a treasure hunt for patterns! For the first sequence \( 845 ; 865 ; 885 ; 905 \ldots \): You're adding 20 each time, so the next numbers would be 925, followed by 945. Now, for the second sequence \( 1528 ; 1578 ; 1628 \ldots \): Here, you're also adding 50 each time. So the next numbers will be 1678, followed by 1728. Happy number hunting!
