Find the wrong number in the following number series?
3,10,31,94,283,848,2551

Options

A. 31
B. 10
C. 2551
D. 848

Answer

To find the wrong number in the series: 3, 10, 31, 94, 283, 848, 2551, we will analyze the pattern of the series step by step.

### Step 1: Identify the Pattern
Let's look at the relationship between consecutive numbers in the series.

1. From 3 to 10:
- \(3 \times 3 + 1 = 9 + 1 = 10\)

2. From 10 to 31:
- \(10 \times 3 + 1 = 30 + 1 = 31\)

3. From 31 to 94:
- \(31 \times 3 + 1 = 93 + 1 = 94\)

4. From 94 to 283:
- \(94 \times 3 + 1 = 282 + 1 = 283\)

5. From 283 to 848:
- \(283 \times 3 + 1 = 849 + 1 = 850\) (This is where we notice a discrepancy)

6. From 848 to 2551:
- \(848 \times 3 + 1 = 2544 + 1 = 2545\) (Again, this does not match)

### Step 2: Verify the Pattern
Now, we will check the calculations again to confirm the pattern.

- For 3 to 10:
\[ 3 \times 3 + 1 = 10 \quad \text{(Correct)} \]
- For 10 to 31:
\[ 10 \times 3 + 1 = 31 \quad \text{(Correct)} \]
- For 31 to 94:
\[ 31 \times 3 + 1 = 94 \quad \text{(Correct)} \]
- For 94 to 283:
\[ 94 \times 3 + 1 = 283 \quad \text{(Correct)} \]
- For 283 to 848:
\[ 283 \times 3 + 1 = 850 \quad \text{(Incorrect)} \]
- For 848 to 2551:
\[ 848 \times 3 + 1 = 2545 \quad \text{(Incorrect)} \]

### Step 3: Identify the Wrong Number
From our calculations, we see that the term that does not fit the pattern is **848**. According to the pattern, the correct number should be **850**.

### Conclusion
Thus, the wrong number in the series is **848**.

---