Pattern Recognition- 14

Find the next two numbers in both series.

1, 2, 4, 7 ,11 , 16 , 22 , 29 ,_ ,_ ,..........
4, 3, 9, 8 ,18 , 17 , 31  ,30 ,_ ,_ ,............


Answer :

1, 2 , 4 ,7 ,11 ,16, 22, 29,_,_,.....

2=1+1
4=2+2
7=4+3
11=7+4
16=11+5
22=16+6
29=22+7

Next two numbers 29+8=37
                            37+9=46

1, 2,      4, 7 ,        11 , 16 ,        22 ,  29 ,       37, 46,..........
     |           |                   |                    |                |
4--3,     9--8 ,       18 -- 17 ,        31-- 30 ,       48--47,............

Next two numbers in the second series will be 48,47