Let A1=[a1]A2=[a2a3a4a5]A3=⎡⎢⎣a6a7a8a9a10a11a12a13a14⎤⎥⎦� – InterviewSolution

1.	Let A1=[a1]A2=[a2a3a4a5]A3=⎡⎢⎣a6a7a8a9a10a11a12a13a14⎤⎥⎦⋯⋯An=[⋯] where ar=[log2r]([⋅] denotes the greatest integer). Then trace of A10 is
Answer» Let $A_{1} = [a_{1}] A_{2} = [\begin{matrix} a_{2} & a_{3} a_{4} & a_{5} \end{matrix}] A_{3} = ⎡ ⎢ ⎣ \begin{matrix} a_{6} & a_{7} & a_{8} a_{9} & a_{10} & a_{11} a_{12} & a_{13} & a_{14} \end{matrix} ⎤ ⎥ ⎦ \dots \dots A_{n} = [\dots] where a_{r} = [{log}_{2} r]$ $([\cdot]$ denotes the greatest integer $)$ . Then trace of $A_{10}$ is

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