The odd term in the sequence 0 7 26 63 124 217 is

Options

A. 217
B. 7
C. 26
D. 63

Answer

To find the odd term in the sequence 0, 7, 26, 63, 124, and 217, we can analyze the pattern of the sequence.

### Step 1: Identify the Pattern
Let's examine the given sequence:
- 0
- 7
- 26
- 63
- 124
- 217

We will look for a pattern or formula that generates these terms.

### Step 2: Check for Cubes
The terms seem to be related to cubes. Let's check if they can be expressed in the form of \(n^3 - 1\) for some integer \(n\).

- For \(n = 1\): \(1^3 - 1 = 0\)
- For \(n = 2\): \(2^3 - 1 = 7\)
- For \(n = 3\): \(3^3 - 1 = 26\)
- For \(n = 4\): \(4^3 - 1 = 63\)
- For \(n = 5\): \(5^3 - 1 = 124\)
- For \(n = 6\): \(6^3 - 1 = 215\)

### Step 3: Compare with the Given Sequence
Now, let's compare the expected terms with the given sequence:
- The expected term for \(n = 6\) is \(215\), but the term in the sequence is \(217\).

### Step 4: Identify the Odd Term
Since \(217\) does not fit the pattern of \(n^3 - 1\) (it should have been \(215\)), we conclude that \(217\) is the odd term in the sequence.

### Final Answer
The odd term in the sequence is **217**.

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