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Three positive numbers form an increasin...

Three positive numbers form an increasing GP. If the middle terms in this GP is doubled, the new numbers are in AP. Then, the common ratio of the GP is

A

`2 - sqrt(3)`

B

`2 + sqrt(3)`

C

`sqrt(3) - 2 `

D

`3 + sqrt(2)`

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The correct Answer is:
B
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AAKASH INSTITUTE-SEQUENCES AND SERIES -Assignment (SECTION - A) One option is correct
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  2. How many terms of the series 1+3+9+ .. .........sum to 364?

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  3. If the (p+q)^(th) term of a G.P. is a and (p-q)^(th) term is b, determ...

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  4. If the sum of three numbers in a GP. is 26 and the sum of products tak...

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  5. If a,b,c are in G.P then (b-a)/(b-c)+(b+a)/(b+c)=

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  6. If x , 2x+2,and 3x+3 are the first three terms of a G.P., then the fou...

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  7. If G(1) . G(2) , g(3) are three geometric means between two positi...

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  8. The fifth term of a G.P. is 32 and common ratio is 2 , then the su...

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  9. If the sum of first three numbers in G.P. is 21 and their product i...

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  10. If x, y z are the three geometric means between 6, 54, then z =

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  11. If a,b, and c are in A.P and b-a,c-b and a are in G.P then a:b:c is

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  12. Three positive numbers form an increasing GP. If the middle terms in t...

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  13. If a, b, c form a G.P. with common ratio r such that 0 < r < 1, and if...

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  14. If x, y, z are in A.P.; ax, by, cz are in GP. and 1/a, 1/b, 1/c are in...

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  15. If second third and sixth terms of an A.P. are consecutive terms o a ...

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  16. If distinct positive number a , b, c, are in G.P. and (1)/(a-b), (...

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  17. The sum 1 + 3 + 3^(2) + …+ 3^(n) is equal to

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  18. The sum of the series 1^(2)+1+2^(2)+2+3^(2)+3+ . . . . .. +n^(n)+n, is

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  19. (1)/(2) + (1)/(4) + (1)/(8) +(1)/(16) + …" to" oo is

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  20. Find the sum of the series 3 + 7 + 13 + 21 + 31 + … to n terms . ...

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