Question

Which is the next number in the sequence: 28, 327, 464, 5125, ____?

• A. 6216
• B. 6126
• C. 6621
• D. 6612

Hint:

If a sequence looks weird, split the numbers into groups to see if they follow powers or squares.

Answer 1

The Correct Option is A

Step 1: Split each term into pieces.
Read each term as a small number stuck in front of a bigger number: 2 then 8, 3 then 27, 4 then 64, 5 then 125.
Step 2: Test a power relationship.
Check the tail against the head: $2^3 = 8$, $3^3 = 27$, $4^3 = 64$, $5^3 = 125$. Each tail is the cube of its head.
Step 3: State the rule.
So each term is the number $n$ written next to $n^3$, with $n$ increasing by 1 each time.
Step 4: Identify the next head.
The heads run 2, 3, 4, 5, so the next head is $n = 6$.
Step 5: Compute the tail.
$6^3 = 216$.
Step 6: Join them.
Write 6 followed by 216 to get 6216.
\[ \boxed{6216} \]