Home
Class 12
MATHS
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`
The value of `lim_(nto oo)sum_(i=1)^(n)a_(ii)` is equal to

A

`1/4`

B

`1/2`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If Delta=|{:(a_(11),a_(12),a_(13)),(a_(21),a_(22),a_(23)),(a_(31),a_(32),a_(33)):}| and A_(ij) Cofators of a_(ij) then value of Delta is given by ……..

Equation x^(n)-1=0,ngt1,ninN, has roots 1,a_(1),a_(2),...,a_(n),. The value of sum_(r=2)^(n)(1)/(2-a_(r)), is

Find the relation between acceleration of blocks a_(1), a_(2) and a_(3) .

If a_(1),a_(2),a_(3),".....",a_(n) are in HP, than prove that a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+"....."+a_(n-1)a_(n)=(n-1)a_(1)a_(n)

What does a_(1) + a_(2) + a_(3) + …..+ a_(n) represent

(1+x-2x^(2))^(6)=1+a_(1),x+a_(2)x^(2)+….+a_(12)^(12) then the value of a_(2) +a_(4)+a_(6)+….+a_(12)=………

If a_(1),a_(2),a_(3),"......" be in harmonic progression with a_(1)=5 and a_(20)=25 . The least positive integer n for which a_(n)lt0 is

If a_(1),a_(2),a_(3),"........" is an arithmetic progression with common difference 1 and a_(1)+a_(2)+a_(3)+"..."+a_(98)=137 , then find the value of a_(2)+a_(4)+a_(6)+"..."+a_(98) .

Find the the indicated term of each Geometric, Progression (i) a_(1) = 9, r=1/3 , find a_(7) , (ii) a_(1) =-12, r=1/3 , find a_(6)

Differentiate a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n)