DeterminantHard

Question

A1 = [ a1]
A2 =
A3 = ................................An = [....]
Where ar = [ log2r ] ([.] denotes greatest integer). Then trace of A10 is equal to.

Options

A.80
B.125
C.100
D.90

Solution

First element in A10 is
a12 + 22 + 32 + .......92 + 1 = a286 and [a286] = 8
and  last element is a385
a385 = [log2385] = 8
Sum = 80

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