Multiple choice

Directions: In the following question, numbers have been organised in a definite number series wherein one number is missing and a question mark (?) is given in its place. Find out the missing number by choosing the correct option. 1, 4, 13, 40, ?

  1. 94

  2. 120

  3. 111

  4. 121
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D Correct answer
Explanation

The pattern is x(n) = x(n-1) * 3 + 1. 1*3+1=4, 4*3+1=13, 13*3+1=40, 40*3+1=121.

AI explanation

The differences between the consecutive terms are 3, 9 and 27, which are consecutive powers of 3. Following this pattern, the next difference should be 3^4, which is 81. Therefore, the missing number is 40 + 81 = 121.

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