What number comes next in the series ?
1, 2, 3, 5, 8, ______

Options

A. 11
B. 13
C. 10
D. 15

Answer

To find the next number in the series 1, 2, 3, 5, 8, we can analyze the pattern of the numbers.

1. **Identify the series**: The given series is 1, 2, 3, 5, 8.

2. **Examine the differences**: Let's look at the differences between consecutive terms:
- 2 - 1 = 1
- 3 - 2 = 1
- 5 - 3 = 2
- 8 - 5 = 3

So, the differences are: 1, 1, 2, 3.

3. **Identify the pattern in differences**: The differences themselves seem to follow a pattern:
- The first two differences are 1, and then we have an increase to 2 and then to 3.

4. **Predict the next difference**: Following the pattern of differences, the next difference should be 5 (since 3 + 2 = 5).

5. **Calculate the next term**: To find the next term in the series, we add this difference to the last term in the series:
- Last term = 8
- Next difference = 5
- Next term = 8 + 5 = 13

Thus, the next number in the series is **13**.