Find the wrong term in following number series
4,11,25,46,74,129,151

Options

A. 129
B. 11
C. 151
D. 4

Answer

To find the wrong term in the number series 4, 11, 25, 46, 74, 129, 151, we will analyze the pattern of the series step by step.

### Step 1: Identify the differences between consecutive terms
Let's calculate the differences between each pair of consecutive terms:

- 11 - 4 = 7
- 25 - 11 = 14
- 46 - 25 = 21
- 74 - 46 = 28
- 129 - 74 = 55
- 151 - 129 = 22

So, the differences are: 7, 14, 21, 28, 55, 22.

### Step 2: Analyze the differences
Now, let's look at the pattern in the differences:

- The first difference is 7 (which is 7 * 1)
- The second difference is 14 (which is 7 * 2)
- The third difference is 21 (which is 7 * 3)
- The fourth difference is 28 (which is 7 * 4)

This suggests that the differences are increasing by 7 each time, until we reach the fourth difference.

### Step 3: Check the next expected difference
Following the pattern, the next difference should be:

- Fifth difference should be 7 * 5 = 35

### Step 4: Calculate the expected term
If we add this expected difference (35) to the last correct term (74):

74 + 35 = 109

### Step 5: Compare with the given term
The next term in the series is given as 129. However, based on our calculations, it should be 109.

### Step 6: Identify the wrong term
Thus, the wrong term in the series is **129**.

### Conclusion
The correct term should be **109** instead of **129**.