Multiple choice

Directions: Find the missing value in the following number series. 3, 16, 125, 1296, 16807, ?

  1. 264276

  2. 262144

  3. 252077

  4. 254186

  5. None of these
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B Correct answer
Explanation

Series: 3^1=3, 4^2=16, 5^3=125, 6^4=1296, 7^5=16807. Next is 8^6 = 262144.

AI explanation

The terms can be rewritten as powers where the bases increase by 1 and the exponents decrease by 1. The sequence corresponds to 3^1, 4^2, 5^3, 6^4, and 7^5, which equal 3, 16, 125, 1296, and 16807 respectively. The next term follows this pattern as 8^6, which is 8 times 8 times 8 times 8 times 8 times 8, equaling 262144.

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