In the following series, a wrong is given. Find out that wrong number.
4,5,10,18,34,59,95

Answer

To identify the wrong number in the series 4, 5, 10, 18, 34, 59, 95, we need to look for a pattern in the sequence.

### Step 1: Calculate the differences between consecutive terms.
- 5 - 4 = 1
- 10 - 5 = 5
- 18 - 10 = 8
- 34 - 18 = 16
- 59 - 34 = 25
- 95 - 59 = 36

This gives us the first difference series: 1, 5, 8, 16, 25, 36.

### Step 2: Calculate the differences of the first difference series.
- 5 - 1 = 4
- 8 - 5 = 3
- 16 - 8 = 8
- 25 - 16 = 9
- 36 - 25 = 11

This gives us the second difference series: 4, 3, 8, 9, 11.

### Step 3: Calculate the differences of the second difference series.
- 3 - 4 = -1
- 8 - 3 = 5
- 9 - 8 = 1
- 11 - 9 = 2

This gives us the third difference series: -1, 5, 1, 2.

### Step 4: Analyze the differences.
The first difference series does not show a consistent pattern. However, if we look closely at the second difference series, we can see that the differences are not forming a clear arithmetic or geometric sequence.

### Step 5: Check for patterns in the original series.
Let's analyze the original series again:
- The first term is 4.
- The second term is 5 (which is 4 + 1).
- The third term is 10 (which is 5 + 5).
- The fourth term is 18 (which is 10 + 8).
- The fifth term is 34 (which is 18 + 16).
- The sixth term is 59 (which is 34 + 25).
- The seventh term is 95 (which is 59 + 36).

### Step 6: Identify the wrong number.
The pattern seems to suggest that each term is the sum of the previous term and an increasing sequence of numbers. The differences are not consistent after the 34.

If we check the difference between 34 and 59, we see that it is 25, while the difference between 18 and 34 is 16. The next expected difference should be 36 (which is 34 + 2).

If we replace 59 with the correct number, it should be 34 + 36 = 70.

Thus, the wrong number in the series is **59**.

### Final Answer:
The wrong number in the series is **59**.

---