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If S(n)=81+54+36+24+.. upto n terms, the...

If `S_(n)=81+54+36+24+..` upto n terms, then value of `x=(S_(n)-4S_(n-1)+6S_(n-2)-4S_(n-3)+S_(n-4))/(S_(n-1)-4S_(n-2)+6S_(n-3)-4S_(n-4)+S_(n-5))` is equal

A

`(2)/(3)`

B

`(3)/(2)`

C

`(1)/(2)`

D

2

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
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  3. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

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  4. The sum of first 'n' terms of the series 1^2+(1)(2)+3^2+(3)(4)+5^2+(5)...

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  6. If a1,a2,a3,.......an, are 'n', distinct odd natural numbers, not divi...

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  7. Coefficient of x^(99) in the expansion of (x-1) (x-3)(x-5)..(x-1999) i...

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  8. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

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  9. If x= overset(oo)underset(n =0)Sigma a^(n),y= overset(oo)underset(n=0)...

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  10. If the sum of an infinite decreasing G.P. is 3 and sum of the cubes of...

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  11. The sum of the series S= overset(n)underset(r=1)Sigma log ((a^(r+1))/(...

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  12. If the fifth term of a G.P. is 2, then write the product of its 9 t...

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  13. If s is the sum to infnity of a G.P, whose first term is a, then the s...

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  14. For a sequence lt a(n) gt, a(1) =5 and (a(r+1))/(a(r))=(1)/(2) AA r, t...

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  15. If the H.M.of two numbers is to their GM. is 12:13 then the numbers ar...

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  16. The H.M. between two numbers is 16/5, their A.M. is A and G.M. is G. I...

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  17. If a(r)=a+(r-1)d is rth term of an A.P., then a(n)^(2)-2a(n-1)^(2)+a(n...

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  18. If A=1+r^2+r^(2a)+...oo=a and B=1+r^b+r^(2b)+...oo=b then a/b is equal...

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  19. Suppose a(1)=45, a(2)=41 and a(k)=2a(k-1)-a(k-2) AA k ge 3, then, valu...

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  20. Suppose P(x)=1-x+x^(2)-x^(3)+…+x^(2012) is expressed as a polynomial i...

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