To solve the problem of finding a set of numbers that is analogous to the given set (64, 32, 8), we can follow these steps:
### Step 1: Identify the relationship in the given set
In the set (64, 32, 8):
- The middle number (32) is multiplied by 2 to get the first number (64).
- The middle number (32) is multiplied by 4 to get the last number (8).
### Step 2: Establish the pattern
From the above relationship, we can summarize:
- First number = Middle number × 2
- Last number = Middle number × 4
### Step 3: Check the options
Now, we need to check the options provided to see which set follows the same pattern.
#### Option 1: (125, 25, 5)
- Middle number: 25
- First number: 25 × 2 = 50 (not 125, so this option is eliminated)
- Last number: 25 × 4 = 100 (not 5, so this option is eliminated)
#### Option 2: (81, 27, 3)
- Middle number: 27
- First number: 27 × 2 = 54 (not 81, so this option is eliminated)
- Last number: 27 × 4 = 108 (not 3, so this option is eliminated)
#### Option 3: (56, 28, 7)
- Middle number: 28
- First number: 28 × 2 = 56 (this matches)
- Last number: 28 × 4 = 112 (not 7, so this option is eliminated)
### Step 4: Identify the correct option
After checking all options, we find that:
- Option 3 (56, 28, 7) correctly follows the pattern where the first number is twice the middle number, and the last number is four times the middle number.
### Conclusion
The set of numbers that is like the given set (64, 32, 8) is (56, 28, 7).
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