Find the wrong term in following number series
1,2,5,16,65,328,1957

Options

A. 5
B. 328
C. 16
D. 1957

Answer

To find the wrong term in the number series 1, 2, 5, 16, 65, 328, 1957, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
We will look for a pattern in how each term relates to the previous term.

1. Start with the first term:
- 1 to 2: \(1 \times 1 + 1 = 2\)

2. Next, from 2 to 5:
- \(2 \times 2 + 1 = 5\)

3. From 5 to 16:
- \(5 \times 3 + 1 = 16\)

4. From 16 to 65:
- \(16 \times 4 + 1 = 65\)

### Step 2: Continue the pattern
Now, let's apply the same pattern to find the next term after 65.

5. From 65 to the next term:
- \(65 \times 5 + 1 = 65 \times 5 + 1 = 325 + 1 = 326\)

### Step 3: Compare with the series
The next term in the series should be 326, but the series shows 328 instead.

### Step 4: Identify the wrong term
Since we calculated that the term following 65 should be 326, the term 328 in the series is incorrect.

### Conclusion
Thus, the wrong term in the series is **328**.

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