Complete the pattern 1,4,9,16,25,36,

Options

A. 40
B. 49
C. 64
D. 48

Explanation

To complete the pattern 1, 4, 9, 16, 25, 36, we need to identify the underlying rule governing the sequence.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given sequence is 1, 4, 9, 16, 25, 36.

2. **Recognize the Pattern**: Each number in the sequence is a perfect square:
- 1 = \(1^2\)
- 4 = \(2^2\)
- 9 = \(3^2\)
- 16 = \(4^2\)
- 25 = \(5^2\)
- 36 = \(6^2\)

3. **Determine the Next Number**: Following the pattern, the next number should be the square of the next natural number, which is 7.
- Therefore, the next number is \(7^2 = 49\).

4. **Conclusion**: The next number in the sequence is 49.

### Final Answer:
The completed pattern is: 1, 4, 9, 16, 25, 36, **49**.

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