Question

Find the Missing Number:
Given sequence 1, 4, 27, 256, 3125, ..........

• A. 7776
• B. 56646
• C. 46656
• D. 1296

Hint:

In sequence problems, look for patterns where numbers are raised to certain powers or follow mathematical operations. Identifying the pattern helps in predicting the next number in the sequence.

Answer 1

The Correct Option is C

Let’s analyze the pattern in the sequence:
- 1 = \( 1^1 \)
- 4 = \( 2^2 \)
- 27 = \( 3^3 \)
- 256 = \( 4^4 \)
- 3125 = \( 5^5 \)
Each term is the number raised to the power of itself (i.e., \( n^n \)).
Following the same pattern, the next number should be \( 6^6 \):
\[ 6^6 = 46656 \] Thus, the missing number is \( \boxed{46656} \). Therefore, the correct answer is \( \boxed{3} \).