Multiple choice

What is the 109th term of the given sequence? 3, 12, 27, 48, 75, ...

  1. 33548

  2. 34576

  3. 35643

  4. 36759
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C Correct answer
Explanation

Sequence: 3(1^2), 3(2^2), 3(3^2), 3(4^2), 3(5^2). The n-th term is 3 * n^2. 109th term = 3 * 109^2 = 3 * 11881 = 35643.

AI explanation

Divide each term by 3 to find the underlying pattern: 1, 4, 9, 16, and 25. This reveals the nth term is 3n2, so for the 109th term, you multiply 3 by the square of 109. Calculating 3 times 11881 yields the result 35643.

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