Multiple choice

What is the 18th term of the sequence 3, 12, 27, 48,...?

  1. 972

  2. 872

  3. 772

  4. 672
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A Correct answer
Explanation

Sequence: 3(1^2), 3(2^2), 3(3^2), 3(4^2)... The n-th term is 3*n^2. For n=18, 3*(18^2) = 3 * 324 = 972.

AI explanation

The sequence follows the pattern where each term is 3 times the square of its position, giving the formula 3n^2. For the 18th term, calculate 3 times 18 squared. Therefore, 3 times 324 equals 972.

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