A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series.
14, 22, 33, 47, 64, ?

Let's find the difference between consecutive terms in the sequence:
22−14=8

33−22=11

47−33=14

64−47=17

The differences are 8,11,14,17,…, which form an arithmetic progression with a common difference of +3.
The next difference should be:

17+3=20
Therefore, the missing term is:

64+20=84