The next two numbers in the number pattern 1, 4, 9, 16, 25 ... are

Options

A. 35, 48
B. 36, 49
C. 36, 48
D. 35,49

Answer

To find the next two numbers in the pattern 1, 4, 9, 16, 25, we first need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Pattern**:
The given numbers are 1, 4, 9, 16, and 25. We can observe that these numbers are perfect squares.
- 1 = \(1^2\)
- 4 = \(2^2\)
- 9 = \(3^2\)
- 16 = \(4^2\)
- 25 = \(5^2\)

2. **Continue the Pattern**:
Following this pattern, the next numbers will be the squares of the next integers.
- The next integer after 5 is 6, so the next number is \(6^2\).
- \(6^2 = 36\)

3. **Find the Next Number**:
The integer after 6 is 7, so we find \(7^2\).
- \(7^2 = 49\)

4. **Conclusion**:
Therefore, the next two numbers in the pattern are 36 and 49.

### Final Answer:
The next two numbers in the number pattern are **36 and 49**.