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Suppose that all the terms of an arithme...

Suppose that all the terms of an arithmetic progression (A.P.) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is `6 : 11` and the seventh term lies in between 130 and 140, then the common difference of this A.P. is

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MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Let bi gt 1 for i = 1, 2, ...., 101. Suppose loge b1, loge b2, ...., l...

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  20. Let X be the set consisting of the first 2018 terms of the arithmet...

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