(D) The pattern follows the logic: $Term_{n+1} = Term_n \times (3 \times 2^{n-1}) + (1.5 \times 2^{n-1})$.Step $1$: $14 \times 3 + 1.5 = 43.5$Step $2$

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(D) The pattern follows the logic: $Term_{n+1} = Term_n \times (3 \times 2^{n-1}) + (1.5 \times 2^{n-1})$.Step $1$: $14 \times 3 + 1.5 = 43.5$Step $2$: $43.5 \times 6 + 3 = 264$Step $3$: $264 \times 12 + 6 = 3174$Step $4$: $3174 \times 24 + 12 = 76188$Thus,the missing term is $3174$.