2020-II-12

Ans: D
$\begin{array}{rcl}
T(1) & = & 3 \\
T(2) & = & 2(1) + 1 + T(1) \\
& = & 3 + 3 \\
& = & 6 \\
T(3) & = & 2(2) + 1 + T(2) \\
& = & 5 + 6 \\
& = & 11 \\
T(4) & = & 2(3) + 1 + T(3) \\
& = & 7 + 11 \\
& = & 18 \\
T(5) & = & 2(4) + 1 + T(4) \\
& = & 9 + 18 \\
& = & 27 \\
T(6) & = & 2(5) + 1 + T(5) \\
& = & 11 + 27 \\
& = & 38 \\
T(7) & = & 2(6) + 1 + T(6) \\
& = & 13 + 38 \\
& = & 51
\end{array}$