What is the missing number in this series?8 2 14 6 11 ? 14 6 18 12A 16B 9C 15D 6

1. Break Down the Problem

We have a series of numbers:
8, 2, 14, 6, 11, ?, 14, 6, 18, 12
We need to find the missing number represented by ?.

2. Relevant Concepts

We will look for a pattern in the series. Observing the numbers closely, we will try to determine if there are any sequences or mathematical relationships between the numbers.

3. Analysis and Detail

Let's break down the series into smaller groups and analyze them.

1. First, identify the pattern:

   • The series might alternate in a certain way or might have a pattern in terms of addition or subtraction.
   • Consider splitting the series into two parts:
     • Part A: 8, 14, 11, ?, 14, 18
     • Part B: 2, 6, ?, 6, 12

2. Examine Part A:

   • From 8 to 14, we add 6.
   • From 14 to 11, we subtract 3.
   • From 11 to ?, the operation may continue the established pattern.

3. Examine Part B:

   • From 2 to 6, we add 4.
   • The second number seems to also increase but decreases with a missing number which might logically follow the previous pattern.

4. Verify and Summarize

Assuming an alternating addition and subtraction pattern is established in both sections, let's check possible patterns:

• For Part A: 8 → +6 → 14 → -3 → 11 → +? → 14
  • Following the +6, -3 pattern, we should find the difference before returning to 14. If we assume the pattern continues in a way that mirrors the addition made before, the missing number must yield to fulfill the cyclic nature.

Testing possible options:

1. If the sequence from 11 proceeds backward to regain 14, explore:
   • 11 + 3 = 14 (expected next increase, define the range)
   • Valid options to proceed with possible placeholders are to guess values that could be ≤14.

From here, we validate against the potential given options.

Final Answer

The missing number ? in the series can be concluded as 15 (Option D), fitting smoothly into the established increasing-decreasing pattern.