Find the wrong number in the following number series:

2, 6, 10, 19, 36, 69, 134

Question

Find the wrong number in the following number series:

2, 6, 10, 19, 36, 69, 134

Accepted Answer

**Solution:**

1. Let's analyze the differences between consecutive terms:
   - $6 - 2 = 4$
   - $10 - 6 = 4$
   - $19 - 10 = 9$
   - $36 - 19 = 17$
   - $69 - 36 = 33$
   - $134 - 69 = 65$

2. The differences form the sequence: 4, 4, 9, 17, 33, 65.

3. Observe the pattern in the differences:
   - Starting from the third difference, each difference roughly doubles the previous one: 9, 17, 33, 65 (approximately doubling each time).

4. However, the first two differences are both 4, which breaks the doubling pattern.

5. If we consider the differences should be doubling starting from the first difference, the sequence of differences should be:
   - 2, 4, 8, 16, 32, 64 (doubling each time)

6. Adding these differences starting from 2:
   - Term 1: 2
   - Term 2: 2 + 2 = 4
   - Term 3: 4 + 4 = 8
   - Term 4: 8 + 8 = 16
   - Term 5: 16 + 16 = 32
   - Term 6: 32 + 32 = 64
   - Term 7: 64 + 64 = 128

7. The given series is 2, 6, 10, 19, 36, 69, 134, which does not follow this doubling difference pattern.

8. The number 6 at the second position does not fit the expected pattern and is therefore the wrong number in the series.

**Answer:** 6

Answer

Answer

Answer

Answer