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Three positive numbers from an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is (1) `sqrt(2)+sqrt(3)` (2) `3+sqrt(2)` (3) `2-sqrt(3)` (4) `2+sqrt(3)`

A

`2 - sqrt3`

B

`2 + sqrt3`

C

`sqrt2 + sqrt3`

D

`3 + sqrt2`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-SEQUENCES AND SERIES -Exercise -2 : Concept Applicator
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  2. If a(1), a(2), …..,a(n) are in A.P. with common difference d ne 0, the...

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  3. If 1,log9(3^(1-x)+2), log3(4*3^x-1) are in A.P then x equals to

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  4. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

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  5. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

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  6. If every even term of a series is a times the term before it and every...

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  7. If y=3^(x-1)+3^(-x-1) (where, x is real), then the leastvalue of y is

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  8. Let a1, a2, a3, ...an be an AP. Prove that: 1 / (a1 an) + 1 / (a2 a(n-...

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  9. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  10. If log(e)5, log(e)(5^(x) -1) and log(e)(5^(x)-(11)/(5)) are in A.P the...

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  11. If a ,b ,c are the sides of a triangle, then the minimum value of a/(b...

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  12. The value of 1/(2!) +2/(3!) +...+999/(1000!) is equal to

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  13. If a,b,c are in H.P.then which one of the following is true

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  14. If a,b,c and the d are in H.P then find the vlaue of (a^(-2)-d^(-2))/(...

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  15. The odd value of n for which 704 + 1/2 (704) + 1/4 (704) + ... upto n ...

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  16. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6p!=1 , then the value o...

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  17. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is :

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  18. The sum of the infinite series(2^(2))/(2!) + (2^(4))/(4!) + (2^(6))/(6...

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  19. If a,b,c re in H.Pthen which one of the following is true

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  20. ABC is a right angled triangle in which /B=90^(@) and BC=a. If n point...

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  21. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

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