Question

Look at these growing patterns. Find out what to add to each number to get the next one:

 2, 3, 6, 11, 18, ______, ______, ______, ______, ______. 

Answer 1

First number: 2

Second number: 3 (i.e. 2 + 1)

Third number: 6 (i.e. 3 + 3)

Fourth number: 11 (i.e. 6 + 5)

Fifth number: 18 (i.e. 11 + 7)

Addition of sequence of odd numbers i.e. 1, 3, 5, 7 …

Thus, next number will be

18 + 9 = 27

27 + 11 = 38

38 + 13 = 51

51 + 15 = 66

66 + 17 = 83

So, the final pattern will be: 2, 3, 6, 11, 18, 27, 38, 51, 66, 83.