Multiple choice

In the following number series, find the missing term?(2, 9, 64, 625, ?)

  1. $7776$
  2. $900$
  3. $1225$
  4. $216$
  5. $None of these$
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A Correct answer
Explanation

Pattern: each term equals (n+1)^n for n starting at 1. 2 = 2^1, 9 = 3^2, 64 = 4^3, 625 = 5^4. Next term is 6^5 = 7776. Verify: 6^5 = 6×6×6×6×6 = 7776. The pattern is consecutive bases raised to consecutive powers.

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