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The average of five consecutive odd numbers is m. If the next three odd numbers are also included, then what is the increase in
the average?
3
0
17
8
To solve this problem:
- Average of five consecutive odd numbers: If the numbers are n,n+2,n+4,n+6,n+8, their average is m=5n+205=n+4.
- Including the next three odd numbers: The next odd numbers are n+10,n+12,n+14. Now consider eight numbers: n,n+2,n+4,n+6,n+8,n+10,n+12,n+14.
- Average of eight numbers: 8n+568=n+7.
- Increase in the average: (n+7)−(n+4)=3.
Now, let's consider the options:
- Option 1: Increase is 3.
- Option 2: Increase is 0.
- Option 3: Increase is 17.
- Option 4: Increase is 8.
The correct increase in the average is 3. Therefore, Option 1 (3) is the correct choice.
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