What will be the next number in the series?
`2,5, 11,23,47,ul?`

Options

A. 95
B. 94
C. 48
D. 74

Answer

To find the next number in the series: `2, 5, 11, 23, 47`, we will analyze the differences between the consecutive numbers.

1. **Identify the differences between consecutive terms:**
- Difference between 5 and 2: \(5 - 2 = 3\)
- Difference between 11 and 5: \(11 - 5 = 6\)
- Difference between 23 and 11: \(23 - 11 = 12\)
- Difference between 47 and 23: \(47 - 23 = 24\)

So, the differences are: \(3, 6, 12, 24\).

2. **Identify the pattern in the differences:**
- The differences themselves are: \(3, 6, 12, 24\).
- Notice that each difference is double the previous difference:
- \(6 = 3 \times 2\)
- \(12 = 6 \times 2\)
- \(24 = 12 \times 2\)

3. **Calculate the next difference:**
- Following the pattern, the next difference should be:
- \(24 \times 2 = 48\)

4. **Add the next difference to the last term in the series:**
- The last term in the series is \(47\).
- So, the next number will be:
- \(47 + 48 = 95\)

Thus, the next number in the series is **95**.