Pattern Analysis:
To find the missing number in the given series, we need to carefully analyze the pattern and identify the relationship between the numbers.

Pattern Observation:
Upon observing the given series, we can see that there is a specific pattern followed by the numbers. Let's break down the series and analyze it step by step.

0, 2, 8, 14, ?, 34

- The first number is 0.
- The second number is obtained by adding 2 to the previous number, which gives us 2.
- The third number is obtained by adding 6 to the previous number (2 + 6), which gives us 8.
- The fourth number is obtained by adding 6 to the previous number (8 + 6), which gives us 14.

Pattern Analysis:
From the above observations, we can deduce that the pattern followed by the given series is as follows:

- The first number is 0.
- The second number is obtained by adding 2 to the previous number.
- The third number is obtained by adding 6 to the previous number.
- The fourth number is obtained by adding 6 to the previous number.

Using the pattern to find the missing number:
To find the missing number in the series, we need to continue the pattern by adding 6 to the previous number.

- The fifth number can be obtained by adding 6 to the previous number (14 + 6), which gives us 20.

Therefore, the missing number in the given series is 20.

Verification:
To verify our answer, let's check if the obtained number fits the pattern and is consistent with the given series.

0, 2, 8, 14, 20, 34

- The second number is obtained by adding 2 to the first number (0 + 2), which gives us 2.
- The third number is obtained by adding 6 to the second number (2 + 6), which gives us 8.
- The fourth number is obtained by adding 6 to the third number (8 + 6), which gives us 14.
- The fifth number is obtained by adding 6 to the fourth number (14 + 6), which gives us 20.
- The sixth number is obtained by adding 14 to the fifth number (20 + 14), which gives us 34.

Since the obtained series follows the pattern and is consistent with the given series, we can conclude that the missing number is indeed 20.

Conclusion:
In the given series, the missing number is 20. Therefore, the correct answer is option C) 20.