Which is the next number in the sequence: 28, 327, 464, 5125, ____?
Show Hint
- 6216
- 6126
- 6621
- 6612
The Correct Option is A
Solution and Explanation
Analyze the numeric pattern based on the digits and exponents.
Step 2: Detailed Explanation:
1. Look at the numbers:
- 2, 8 (2 cubed is 8)
- 3, 27 (3 cubed is 27)
- 4, 64 (4 cubed is 64)
- 5, 125 (5 cubed is 125)
2. The sequence pairs are formed by \( n \) followed by \( n^3 \).
3. For \( n=6 \), we need 6 followed by \( 6^3 = 216 \).
4. Combining these gives 6216.
Step 3: Final Answer:
The next number is 6216.
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