Multiple choice

Find the missing term in the following number of series. 2, 5, 16, 65, 326, ?

  1. 1957

  2. 1987

  3. 1972

  4. 1886

  5. 1786

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A Correct answer
Explanation

The pattern is: 2*2+1=5, 5*3+1=16, 16*4+1=65, 65*5+1=326, 326*6+1=1957.

AI explanation

The series follows a pattern where each term is multiplied by an increasing integer and then 1 is added. Multiplying 2 by 2 and adding 1 gives 5, multiplying 5 by 3 and adding 1 gives 16, and multiplying 16 by 4 and adding 1 gives 65. Following this pattern, multiply 326 by 6 and add 1, which is 1956 + 1 = 1957. The result is 1957.