What is the next term of the series 1, 2, 4, 8, 16, ......?

Options

A. 20
B. 64
C. 24
D. 32

Answer

To find the next term in the series 1, 2, 4, 8, 16, we can observe the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first term is 1, which can be expressed as \(2^0\).
- The second term is 2, which can be expressed as \(2^1\).
- The third term is 4, which can be expressed as \(2^2\).
- The fourth term is 8, which can be expressed as \(2^3\).
- The fifth term is 16, which can be expressed as \(2^4\).

2. **Continuing the Pattern**:
- From the pattern, we can see that each term is a power of 2, where the exponent increases by 1 for each subsequent term.
- Therefore, the next term should be \(2^5\).

3. **Calculate \(2^5\)**:
- Now, we calculate \(2^5\):
\[ 2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32 \]

4. **Conclusion**:
- Thus, the next term in the series is 32.

### Final Answer:
The next term of the series is **32**.