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How many terms of the GP 3,3/2,3/4,........

How many terms of the GP `3,3/2,3/4,......` are needed to give sum `3069/512`?

A

9

B

10

C

11

D

12

Text Solution

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. How many terms of the GP 3,3/2,3/4,...... are needed to give sum 3069/...

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  2. If first three terms of the sequence 1//16 ,a , b , c1//16 are in geom...

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  3. If a,x,b are in H.P. And a,y,z,b are in G.P.,then the value of (yz)/(...

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  4. Let x=1+a+a^2+...and y=1+b+b^2+..., where |a|<1and |b|<1. Prove that 1...

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  5. If three distinct positive numbers a,b,c are in A.P. Such that abc=4,t...

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  6. The value of the sum underset(i=1)overset(20)Sigmai(1/i+1/(i+1)+1/(i+2...

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  7. Find the sum of all numbers between 200 and 400 which are divisible...

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  8. Let a,b and c be distinct real numbers. If a,b,c are in geometric prog...

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  9. If the sum of first n terms of two A.P.'s are in the ratio 3n+8 : 7n+1...

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  10. A tree, in each year grows 5 cm less than it grew in the previous year...

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  11. If (48)/(2.3)+(47)/(3.4)+(46)/(4.5)+ . . . +(2)/(48.29)+(1)/(49.50) ...

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  12. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

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  13. If a, b, c are in H.P, b, c, d are in G.P, and c, d, e are in A.P, the...

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  14. If sum(k=1)^n ɸ(k)=2n/(n+1),then sum(k=1)^10 1/(ɸ(k))is equal to

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  15. Let a,b,c,d and e be distinct positive numbers. If a,b,c and 1/c,1/d...

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  16. If the sum of first 15 terms of the series 3+7+14+24+37+... Is 15k, t...

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  17. Let a1,a2,a3,a4,a5 be a G.P. Of positive real numbers such that A.M. ...

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  18. In an ordered set of four numbers, the first 3 are A.P. And the last ...

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  19. If e^((sin^2x+sin^4x+sin^6x+..." upto" oo)In 2) satisfies the equation...

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  20. For distinct positive numbers a,b and c, if a^2,b^2,c^2 are in A.P. Th...

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  21. If three real numbers a,b,c all greater than one, are in a geometrica...

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