OPTION(B)
The above given series can be considered as two series.
First Series : Consisting all the odd position numbers ( 14, 20, 32 , x) : x is the term to be discovered.
Second Series : Consisting all the odd position numbers ( 28, 40, 64)
Since x is in the first series so, let’s focus on it.
Check the following difference pattern in two successive terms of the series.
20 - 14 = 6
32 - 20 = 12
Since the difference in a pair of successive numbers is doubling so the next will be :-
x - 32 = 24
solving x we get,
x = 24 + 32
x = 56
HENCE THE NEXT TERM OF THE SERIES IS 56. :)