(D) The pattern followed in the series is $x_n = x_{n-1} \times 2 + (2n - 3)$,where $n$ is the position of the term.Step $1$: $5 \times 2 + 1 = 11$Ste

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(D) The pattern followed in the series is $x_n = x_{n-1} \times 2 + (2n - 3)$,where $n$ is the position of the term.Step $1$: $5 \times 2 + 1 = 11$Step $2$: $11 \times 2 + 3 = 25$Step $3$: $25 \times 2 + 5 = 55$Step $4$: $55 \times 2 + 7 = 117$Thus,the missing number is $25$.