What number best completes this sentence 2 6 3 8 6 12?

Answer 1

11

Take the numbers in pairs :-

2 + (4) = 6 . . . add 1 to the first number on this line

3 + (5) = 8 . . . add 3 to the first number on this line

6 + (6) = 12 . . . add 5 to the first number on this line

11

The values added are increasing by one at each stage, and the initial values of each pair are increasing by consecutive odd numbers. The next few entries in the sequence would thus be :-

11 + (7) = 18 . . . add 7 to the first number on this line

18 + (8) = 26 . . . add 9 the the first number on this line

27 + (9) = 36 . . . and so on.