Multiple choice

Directions: Find the next term of the series: 87, 84, 75, 48, ___

  1. -36

  2. 33

  3. 36

  4. -33

  5. 30
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D Correct answer
Explanation

The series follows a pattern of subtracting powers of 3: 87 - 3 = 84, 84 - 9 = 75, 75 - 27 = 48. The next step is 48 - 81 = -33.

AI explanation

The pattern is to subtract consecutive square numbers multiplied by 3 (3, 12, 27, and so on). So, 87 minus 3 is 84, 84 minus 12 is 75, and 75 minus 27 is 48. The next step is to subtract 3 times 4 squared (which is 48) from 48, yielding -33.

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