What is X in the sequence 132, 129, 124, 117, 106, 93, X

What is X in the sequence 132, 129, 124, 117, 106, 93, X?

  1. 74
  2. 75
  3. 76
  4. 77

Answer

The sequence is decreasing. So, first find the difference between two numbers.

132 - 129 = 3

129 - 124 = 5

124 - 117 = 7

117 - 106 = 11

106 - 93 = 13

3, 5, 7, 11, 13 are prime numbers. Next prime number is 17.

X = 93 - 17 = 76

The correct option is C.