Question

92 93 97 106 what is next number​

Answer 1

find the next number in the series $92,\ 93,\ 97,\ 106, ?$

Explanation:

1. let the given numbers belong to a series 'A' then we have,                                       $a_1=92,\ a_2=93,\ a_3=97,\ a_4=106,\ a_5=?$                                                                                $d_1=93-92=1\\d_2=97-93=4\\d_3=97-106=9$                    
2. now we have a second series let it be denoted by 'B'  $(1,4,9,....)$ then we have,     $d_1'=4-1=3, \ \ \ \ \ \ d_2'=9-4=5$  
3. hence, we have a third series let it be 'C' $(3,5,....)$. hence, C is series of odd numbers starting from $3$. therefore we get, $d_3'=7$    
4. now from series B we have, $d_3'=d_4-d_3\ \ \ \ \ \ \ ->d_4=d_3+d_3'$                                         hence, $d_4= 9+7=16$    
5. now from series A we have, $d_4=a_5-a_4\ \ \ \ \ \ \ ->a_5=a_4+d_4$                                 hence, $a_5=106+16=122$      
6. next number is  $122$