Given the sequence of terms AD, CG, FK, JP the next term is

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Solution

The correct option is A OV
AD, CG, FK, JP are given terms. The first letter in each term A,C,F,J are respectively 1,3,6,10 letter of alphabetical sequence.

$A = 1; 1^{s t} l e t t e r o f a l p h a b e t i c a l s e q u e n c e$
$C = 1 + 2 = 3; 3^{r d} l e t t e r o f a l p h a b e t i c a l s e q u e n c e$
$F = 1 + 2 + 3 = 6; 6^{t h} l e t t e r o f a l p h a b e t i c a l s e q u e n c e$
$G = 1 + 2 + 3 + 4 = 10; 10^{t h} l e t t e r o f a l p h a b e t i c a l s e q u e n c e$

The next term should begin with

$1 + 2 + 3 + 4 + 5 = 15^{t h}$

letter of alphabetical sequence. So, next term should begin with O.

Also in the series AD, CG, FK, JP, two letters in each term are separated by 2,3,4,5 letters in between them respectively. Hence, next term should be OV as there should be a gap of 6 alphabets between O and V.

Hence answer is OV.

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