Three non-zero numbers `a ,b ,a n dc` are in A.P. Increasing `a` by 1 or increasing `c` by 2, the numbers are in G.P. Then find `bdot`

The sum of three numbers a ,b ,c in A.P. is 18 . If aa n db are each increased by 4a n dc is increased by 36 , the new numbers form a G.P. Find a ,b ,c

Three numbers a, b, c, non-zero, form an arithmetic progression. Increasing a by 1 or increasing c by 2 results in a geometric progression. Then b equals :

If a,b,c are in A.P. as well as in G.P. then