Multiple choice

Directions: Find the missing term in the following series. 3, 33, 75, 131, 203, ?

  1. 243

  2. 293

  3. 301

  4. 275

  5. 257
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B Correct answer
Explanation

The differences between consecutive terms are: 33-3=30, 75-33=42, 131-75=56, 203-131=72. The second differences are: 42-30=12, 56-42=14, 72-56=16. The next second difference should be 18, so the next first difference is 72+18=90. The next term is 203+90=293.

AI explanation

The differences between the consecutive terms are 30, 42, 56, and 72, which form a series of products of consecutive integers (5*6, 6*7, 7*8, 8*9). The next difference should be 9*10 = 90. Adding 90 to the last term gives 203 + 90 = 293.

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