Multiple choice

Write the next term in the series given below. 5, 15, 46, 140, ____

  1. 423

  2. 288

  3. 333

  4. 444

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A Correct answer
Explanation

The pattern is: 5*2+5=15, 15*3+1=46, 46*3+2=140. Alternatively: 5*3=15, 15*3+1=46, 46*3+2=140, 140*3+3=423.

AI explanation

Each term in the series is multiplied by 3, and then an increasing integer is added. The first term 5 is multiplied by 3 and added to 0 to get 15, the second term 15 is multiplied by 3 and added to 1 to get 46, and the third term 46 is multiplied by 3 and added to 2 to get 140. Following this pattern, 140 is multiplied by 3 and added to 3. The result is 423.