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If a ,1/b ,a n d1/p ,q ,1/r from two ari...

If `a ,1/b ,a n d1/p ,q ,1/r` from two arithmetic progressions of the common difference, then `a ,q ,c` are in A.P. if `p ,b ,r` are in A.P. b. `1/p ,1/b ,1/r` are in A.P. c. `p ,b ,r` are in G.P. d. none of these

A

p,b,r, in A.P.

B

`(1)/(p),(1)/(b),(1)/( r)` in A.P.

C

p,b,r in G.P.

D

none of these

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The correct Answer is:
B
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MARVEL PUBLICATION-SEQUENCES AND SERIES -MULTIPLE CHOICE QUESTIONS
  1. If in an A.P. {t(n)}, it is given that t(p)=q and t(q)=p then : t(p+q)...

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  2. If in an A.P. {t(n)}, it is given that p.t(p)=q.t(q) then : t(p+q)= cd...

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  3. If a ,1/b ,a n d1/p ,q ,1/r from two arithmetic progressions of the co...

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  4. If S(n) is the sum of the first n terms of an A.P. then : (a) S(3n)=3(...

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  5. If in an A.P., S(2n)=3.S(n) then S(3n) : S (n)= (a)5 (b) 6 (c)7 (d)8

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  6. If S(n) denotes the sum of first n terms of an A.P., then (S(3n)-S(n...

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  7. If in an A.P. {a(n)}, a(1)+a(5)+a(10)+a(15)+(20)+a(24)=225 then : S...

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  8. IF in an A.P. {a(n)} a(1)+a(4)+a(7)+cdots+a(16)=147, then : a(1)+a(6)...

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  9. let a1,a2,a3,...........,be an AP such that (a1+a2+a3+...........+ap)/...

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  10. If a(1),a(2),a(3),"….",a(n) are in AP, where a(i)gt0 for all I, the va...

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  11. If a1,a2,a3, ,an are an A.P. of non-zero terms, prove that 1/(a1+a2...

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  12. If a,b,c are in both : A.P. and G.P. then (A)a=b!=c (B)a!=b=c (C) a!=b...

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  13. If x,y,z are in A.P. then : e^(-x), e^(-y),e^(-z) are in (a) A.P (b) G...

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  14. If x,y,z are in A.P. then : yz,zx,xy are in

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  15. If in a G.P., {a(n)} it given that (a) 120 (b)124 (c) 128 (d) 132

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  16. Every term of a G.P. is positive and also every term is the sum of pre...

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  17. If in a g.P. { t(n)) it is given that t(p+q) =a and t(p-q) = b then :...

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  18. If , in a G.P. {a(n)} it is given that a(1)+a(2)+a(3)+a(4)= 30 ...

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  19. If {a(n)} is a G.P. of positive terms then : (sqrt(a(1)a(2))+sqr...

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  20. The sides of a right angled triangle arein A.P., then they are in the...

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