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If ( a(2)a(3))/( a(1) a(4)) = ( a(2) + a...

If `( a_(2)a_(3))/( a_(1) a_(4)) = ( a_(2) + a_(3))/( a_(1) + a_(4) ) = 3 ((a_(2) - a_(3))/(a_(1) - a_(4)))` , then `:`
`a_(1) , a_(2) , a_(3) , a_(4)` are in `:`

A

A.P.

B

G.P.

C

H.P.

D

None of these

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The correct Answer is:
C
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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. If a, b, c are in A.P., p, q, r are in HP and ap, bq, cr are in GP, th...

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  2. If a ,b,c are in H.P., then correct statement is :

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  3. If ( a(2)a(3))/( a(1) a(4)) = ( a(2) + a(3))/( a(1) + a(4) ) = 3 ((a(2...

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  4. The sum of the products of the ten numbers : +-1,+-2,+-3,+-4,+-5, ta...

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  5. If n is an odd integer greater than or equal to 1, then the value of :...

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  6. The sum of the squares of three distinct real numbers which are in G.P...

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  7. If x =1 + a + a^(2)+"………" to oo and y = 1+ b + b^(2) +"………" to oo w...

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  8. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

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  9. If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) +...

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  10. The minimum sum of the series : 20 + 19(1)/(3)+ 18(2)/( 3) +"..." i...

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  11. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

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  12. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

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  13. Let a(1), a(2),"…..",a(10) be in A.P. and h(1) ,h(2),"…….",h(10) be in...

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  14. The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)...

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  15. If x(1), x(2),"……….",x(n) are n non zero real numbers such that (x(1)^...

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  16. For 0 lt theta lt ( pi )/(2) , if x = sum(n=0)^(oo)cos^(2n) theta, y =...

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  17. If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...

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  18. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

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  19. If sin alpha, sin^(2) alpha, 1,sin^(4) alpha, sin^(5) alpha, ( - pi lt...

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  20. If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...

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