What number follows in the sequence: 48, 24, 12, ……?
Understand the Problem
The question is asking for the next number in a sequence where each number appears to be halved successively. To solve it, we can identify the pattern of dividing the previous number by 2.
Answer
The next number in the sequence is \( 4 \).
Answer for screen readers
The next number in the sequence is ( 4 ).
Steps to Solve
- Identify the pattern of the sequence
Look at the numbers in the sequence and see how they change. If the sequence starts with a number ( n ), the next number will be ( \frac{n}{2} ).
- Apply the pattern to find the next number
If the last number in the sequence is ( 8 ), to find the next number in the sequence, divide ( 8 ) by ( 2 ):
$$ \text{Next number} = \frac{8}{2} = 4 $$
- Verify the calculation
Ensure the calculation is accurate by checking:
$$ 4 \times 2 = 8 $$
This confirms that halving ( 8 ) gives ( 4 ).
The next number in the sequence is ( 4 ).
More Information
The sequence is based on halving each number successively. This type of sequence demonstrates a geometric progression where each term is derived from the previous one by a constant factor (in this case, ( \frac{1}{2} )).
Tips
- Failing to recognize the pattern: Some may not easily see that each term is obtained by halving the previous term. It's important to always look for consistent patterns in sequences.
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