What is the next number in the series 1, 2, 4, 13, 31, 112 ..

3 Answers on this Question

1. 224

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2. Answer is 274 .

   Let the required term be x.

   Pattern :- 1) Find the difference between consecutive terms as :

   2 – 1 = 1

   4 – 2 = 2

   13 – 4 = 9

   31 – 13 = 18

   112 – 31 = 81

   2) Now write the above numbers obtained by differences in series as :

   1, 2, 9, 18, 81, y

   (Suppose y be next term after 81.)

   3) Look the difference series carefully and it follows the below pattern as :

   (9 * 2)/1 = 18

   (18 * 9)/2 = 81

   (81 * 18)/9 = 162 = y (the next term after 81)

   Thus the required answer is :

   x = 112 + y

   x = 112 +162 =274

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3. Answer is 274 .

   Let the required term be x.

   Pattern :- 1) Find the difference between consecutive terms as :

   2 – 1 = 1

   4 – 2 = 2

   13 – 4 = 9

   31 – 13 = 18

   112 – 31 = 81

   2) Now write the above numbers obtained by differences in series as :

   1, 2, 9, 18, 81, y

   (Suppose y be next term after 81.)

   3) Look the difference series carefully and it follows the below pattern as :

   (9 * 2)/1 = 18

   (18 * 9)/2 = 81

   (81 * 18)/9 = 162 = y (the next term after 81)

   Thus the required answer is :

   x = 112 + y

   x = 112 +162 =274

   Reply