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The sum of the first five terms of a geo...

The sum of the first five terms of a geometric series is 189, the sum of the first six terms is 381, and the sum of the first seven terms is 765. What is the common ratio in this series.

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MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. The sum of the first five terms of a geometric series is 189, the sum ...

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  2. Let Vr denote the sum of first r terms of an arithmetic progression (A...

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  3. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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  4. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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  5. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

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  6. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

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  7. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

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  8. A straight line through the vertex P of a triangle PQR intersects the ...

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  9. Suppose four distinct positive numbers a1,a2,a3,a4 are in G.P. Let b1=...

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  10. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

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  11. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

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  12. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

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  13. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

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  14. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  15. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

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  16. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  17. Let an denote the number of all n-digit positive integers formed by th...

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  18. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2). Then S(n) can take value...

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  19. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

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  20. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

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  21. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

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