Find out the missing term in the series:
Texas Instruments aptitude question, verified with a worked answer. Free to practise - no sign-up.
Find out the missing term in the series:
$$\text{D8T, G16P, J32L, ( ? ), P128D}$$
Show answer & explanation
Break each term down into its three constituent components (First Letter, Number, Last Letter):
First Letter Sequence:
$$\text{D (4)} \xrightarrow{+3} \text{G (7)} \xrightarrow{+3} \text{J (10)} \xrightarrow{+3} \mathbf{M (13)} \xrightarrow{+3} \text{P (16)}$$
The first letter advances by $+3$ positions in the alphabet, giving M.Numeric Sequence:
$$8 \xrightarrow{\times 2} 16 \xrightarrow{\times 2} 32 \xrightarrow{\times 2} \mathbf{64} \xrightarrow{\times 2} 128$$
Each number is doubled (multiplied by $2$), giving 64.Last Letter Sequence:
$$\text{T (20)} \xrightarrow{-4} \text{P (16)} \xrightarrow{-4} \text{L (12)} \xrightarrow{-4} \mathbf{H (8)} \xrightarrow{-4} \text{D (4)}$$
The last letter decreases by $-4$ positions in the alphabet, giving H.
Combining all three elements yields the missing term: M64H.
Thus, the correct option is A.