6 13 20 65 256 ?

Options

A. 1283
B. 1756
C. 2786
D. 2686

Explanation

To find the missing number in the series 6, 13, 20, 65, 256, we will analyze the pattern step by step.

### Step 1: Identify the pattern between the numbers
- Starting with the first two numbers:
- From 6 to 13, we can see that:
- 6 + 7 = 13
- Thus, the first operation is adding 7.

**Hint:** Look for simple arithmetic operations (addition, subtraction) between consecutive numbers.

### Step 2: Continue to the next number
- From 13 to 20:
- 13 + 7 = 20
- Here, we can see that we are again adding 7.

**Hint:** Check if the same operation applies to the next set of numbers.

### Step 3: Move to the next number in the series
- From 20 to 65:
- 20 * 3 + 5 = 65
- Here, we are multiplying by 3 and then adding 5.

**Hint:** Look for multiplication or other operations that could relate the numbers.

### Step 4: Analyze the next transition
- From 65 to 256:
- 65 * 4 - 4 = 256
- Here, we are multiplying by 4 and then subtracting 4.

**Hint:** Identify if there is a consistent pattern in the operations used.

### Step 5: Determine the next operation
- Now, we need to find the next number after 256:
- Following the pattern, we multiply by 5 and then add 3.
- So, 256 * 5 + 3 = 1280 + 3 = 1283.

**Hint:** Use the established pattern of operations to find the next number.

### Conclusion
The missing number in the series is **1283**.