Question

Find out the wrong number in the sequence:
1, 8, 27, 64, 124, 216, 343

• A. 8
• B. 64
• C. 27
• D. 124

Hint:

The terms are perfect cubes $n^3$: $1, 8, 27, 64, 125, 216, 343$. Term 124 is incorrect.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Evaluating the sequence of perfect cubic integers of consecutive natural numbers $n^3$.

Step 2: Key Formula or Approach:
The sequence of cubes of consecutive integers is:
\[1^3 = 1\] \[2^3 = 8\] \[3^3 = 27\] \[4^3 = 64\] \[5^3 = 125\] \[6^3 = 216\] \[7^3 = 343\]

Step 3: Detailed Explanation:
In the given sequence, the 5th term is given as 124 instead of the correct cube value 125.

Step 4: Final Answer:
Therefore, the wrong number in the sequence is 124.