Multiple choice

Directions: In the following question, one term is missing in the number series, represented by a question mark (?). Choose the missing term from the given alternatives. 7, 15, 28, 59, 114, (?)

  1. 243

  2. 233

  3. 213

  4. 223

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pattern is: 7*2+1=15, 15*2-2=28, 28*2+3=59, 59*2-4=114, 114*2+5=233.

AI explanation

The differences between the terms are 8, 13, 31, and 55. This pattern represents the sum of a cube and a square: 2^3 + 2^2 = 12, which is incorrect for the first difference; instead, the sequence follows the logic of adding squares and cubes to previous terms. Multiplying the terms by two and alternately subtracting and adding 1 gives the next terms: 7*2+1=15, 15*2-2=28, 28*2+3=59, and 59*2-4=114. Continuing this pattern, 114*2+5 equals 233. The result is 233.