5, 11, 23, 47, 95, …

Options

A. 191
B. 161
C. 169
D. 190

Explanation

To solve the series: 5, 11, 23, 47, 95, …

### Step-by-Step Solution:

1. **Identify the Pattern**:
We start by examining the relationship between consecutive terms in the series.
- The first term is 5.
- The second term is 11.
- The third term is 23.
- The fourth term is 47.
- The fifth term is 95.

2. **Calculate Differences**:
Let's find the differences between consecutive terms:
- 11 - 5 = 6
- 23 - 11 = 12
- 47 - 23 = 24
- 95 - 47 = 48

The differences are: 6, 12, 24, 48.

3. **Observe the Differences**:
Notice that each difference is double the previous difference:
- 12 = 2 * 6
- 24 = 2 * 12
- 48 = 2 * 24

4. **Predict the Next Difference**:
Following the pattern, the next difference should be:
- 48 * 2 = 96.

5. **Calculate the Next Term**:
To find the next term in the series, we add this difference to the last term (95):
- 95 + 96 = 191.

6. **Conclusion**:
Therefore, the next term in the series is **191**.

### Final Answer:
The next term in the series is **191**.

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