In the following series only one number is wrong. Find out the wrong number.
`"6 , 91, 584, 2935, 11756, 35277, 70558"`

Options

A. 91
B. 70558
C. 584
D. 2935

Answer

To find the wrong number in the series `6, 91, 584, 2935, 11756, 35277, 70558`, we will analyze the pattern in the series step by step.

### Step 1: Analyze the first term
The first term is `6`.

### Step 2: Check the second term
The second term is `91`. We can check if there is a pattern by using the first term:
- Calculate: \( 6 \times 15 + 1 = 90 + 1 = 91 \)

### Step 3: Check the third term
The third term is `584`. Let's see if it follows the same pattern:
- Calculate: \( 91 \times 6 + 8 = 546 + 8 = 554 \) (This does not match)
- However, if we check: \( 91 \times 6 + 36 = 546 + 36 = 582 \) (This is closer but still not matching)

### Step 4: Check the fourth term
The fourth term is `2935`. Let's check the previous term:
- Calculate: \( 584 \times 5 + 5^2 = 2920 + 25 = 2945 \) (This does not match)

### Step 5: Check the fifth term
The fifth term is `11756`. Let's check:
- Calculate: \( 2935 \times 4 + 4^2 = 11740 + 16 = 11756 \) (This matches)

### Step 6: Check the sixth term
The sixth term is `35277`. Let's check:
- Calculate: \( 11756 \times 3 + 3^2 = 35268 + 9 = 35277 \) (This matches)

### Step 7: Check the seventh term
The seventh term is `70558`. Let's check:
- Calculate: \( 35277 \times 2 + 2^2 = 70554 + 4 = 70558 \) (This matches)

### Conclusion
From our calculations, we notice that the third term `584` does not follow the established pattern. The correct number should be `582` instead of `584`.

Thus, the wrong number in the series is **584**.

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