1,8, 27,64,125,216…

Options

A. 354
B. 343
C. 392
D. 245

Answer

To find the next term in the series 1, 8, 27, 64, 125, 216, we can follow these steps:

### Step 1: Identify the pattern in the series
The given series is:
1, 8, 27, 64, 125, 216.

### Step 2: Recognize the cubes of integers
We can observe that each term in the series corresponds to the cube of consecutive integers:
- 1 = 1³
- 8 = 2³
- 27 = 3³
- 64 = 4³
- 125 = 5³
- 216 = 6³

### Step 3: Determine the next integer
The next integer after 6 is 7.

### Step 4: Calculate the cube of the next integer
Now, we calculate the cube of 7:
7³ = 7 × 7 × 7 = 343.

### Step 5: Write the next term
Thus, the next term in the series is 343.

### Final Answer
The next term in the series is **343**.

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