0.5, 1.5, 5, 18, 76, ?

Options

A. 380
B. 385
C. 390
D. 395

Explanation

To find the missing number in the series: 0.5, 1.5, 5, 18, 76, ?, we will analyze the pattern step by step.

### Step 1: Identify the pattern between the numbers.
- The series starts with 0.5 and goes to 1.5.
- To find the relationship, we can see that:
- \(0.5 \times 1 + 1 = 1.5\)

### Step 2: Continue to the next number.
- Now from 1.5 to 5:
- \(1.5 \times 2 + 2 = 5\)

### Step 3: Move to the next number.
- Next, from 5 to 18:
- \(5 \times 3 + 3 = 18\)

### Step 4: Proceed to the next number.
- From 18 to 76:
- \(18 \times 4 + 4 = 76\)

### Step 5: Find the next number in the series.
- Now, we need to find the next number after 76:
- We will use the same pattern, so we multiply by 5 and add 5:
- \(76 \times 5 + 5 = 380 + 5 = 385\)

### Conclusion:
- The missing number in the series is **385**.