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Let A be nxxn matrix given by A=[(a(11...

Let A be `nxxn` matrix given by
`A=[(a_(11),a_(12),a_(13)……a_(1n)),(a_(21),a_(22),a_(23)…a_(2n)),(vdots, vdots, vdots),(a_(n1),a_(n2),a_(n3).a_("nn"))]`
Such that each horizontal row is arithmetic progression and each vertical column is a geometrical progression. It is known that each column in geometric progression have the same common ratio. Given that `a_(24)=1,a_(42)=1/8` and `a_(43)=3/16`
Let `d_(i)` be the common difference of the elements in with row then `sum_(i=1)^(n)d_(i)` is

A

`n`

B

`1/2-1/(2^(n+1))`

C

`1-1/(2^(n))`

D

`(n+1)/(2^(n))`

Text Solution

Verified by Experts

The correct Answer is:
C
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