0,1,1,2,3,5,8,13,___,34,… The missing term in the number series is:

Options

A. 20
B. 22
C. 25
D. 21

Answer

To solve the problem, we need to identify the pattern in the given series: 0, 1, 1, 2, 3, 5, 8, 13, ___, 34.

### Step-by-Step Solution:

1. **Identify the Series**:
The series starts with 0, 1, and continues with subsequent terms. We will write down the series:
- 0, 1, 1, 2, 3, 5, 8, 13, ___, 34

2. **Recognize the Pattern**:
This series resembles the Fibonacci sequence, where each term is the sum of the two preceding terms. Let's verify this:
- 0 + 1 = 1 (1st term)
- 1 + 1 = 2 (2nd term)
- 1 + 2 = 3 (3rd term)
- 2 + 3 = 5 (4th term)
- 3 + 5 = 8 (5th term)
- 5 + 8 = 13 (6th term)
- 8 + 13 = 21 (7th term)
- 13 + 21 = 34 (8th term)

3. **Calculate the Missing Term**:
To find the missing term, we need to add the last two known terms in the series:
- 8 (the 6th term) + 13 (the 7th term) = 21

4. **Fill in the Missing Term**:
Now we can replace the blank in the series with the calculated value:
- 0, 1, 1, 2, 3, 5, 8, 13, **21**, 34

5. **Final Answer**:
Therefore, the missing term in the series is **21**.