What wil come in the place of question mark in following number series:
34,18,10,6,?,3

Options

A. A)9
B. B)4
C. C)3
D. D)2

Answer

To solve the number series: 34, 18, 10, 6, ?, 3, we need to identify the pattern in the sequence. Let's break it down step by step.

### Step 1: Identify the pattern
We will look at the differences between consecutive terms to find a pattern.

- From 34 to 18:
\( 34 - 18 = 16 \)

- From 18 to 10:
\( 18 - 10 = 8 \)

- From 10 to 6:
\( 10 - 6 = 4 \)

### Step 2: Continue the pattern
Now, we can see that the differences between the terms are decreasing:
- The first difference is 16.
- The second difference is 8.
- The third difference is 4.

It seems like the differences are halving each time. Following this pattern, the next difference should be:
- \( 4 / 2 = 2 \)

### Step 3: Calculate the missing term
Now we can find the missing term (let's call it K) by subtracting this difference from the last known term (6):
- \( K = 6 - 2 = 4 \)

### Step 4: Verify the next term
To ensure our answer is correct, we can check the next term in the series. The next difference should be:
- \( 2 / 2 = 1 \)

Now, we will subtract this from K (which is 4):
- \( 4 - 1 = 3 \)

This matches the last term in the series (3), confirming our solution.

### Conclusion
Thus, the missing term in the series is **4**.