Select the missing number from the given series.
1, 8, 27, 64, ?

Options

A. 64
B. 125
C. 90
D. 56

Answer

To find the missing number in the series 1, 8, 27, 64, we can follow these steps:

### Step 1: Identify the pattern in the series
The given series is: 1, 8, 27, 64.
We need to determine how each number relates to one another.

**Hint:** Look for a mathematical operation or relationship that connects the numbers.

### Step 2: Recognize the cubes of integers
Notice that:
- 1 = 1³ (1 cubed)
- 8 = 2³ (2 cubed)
- 27 = 3³ (3 cubed)
- 64 = 4³ (4 cubed)

**Hint:** Think about the cubes of consecutive integers.

### Step 3: Determine the next term in the series
Following the pattern, the next term should be the cube of the next integer:
- The next integer after 4 is 5.
- Therefore, we calculate 5³.

**Hint:** Calculate 5 cubed.

### Step 4: Calculate 5³
5³ = 5 × 5 × 5 = 125.

**Hint:** Remember that multiplying a number by itself three times gives you the cube.

### Step 5: Conclusion
Thus, the missing number in the series is 125.

**Final Answer:** 125