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In a geometric progression consisting of...

In a geometric progression consisting of positive terms each term equals the sum of the next two terms. Then the common ratio of this progression equals

A

`(1)/(2) (1 - sqrt(5))`

B

`(1)/(2) sqrt(5)`

C

`sqrt(5)`

D

`(1)/(2) (sqrt(5) - 1)`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. How many terms of the series 1 + 3 + 9 + …. Sum to 364 ?

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  2. If (1 - y) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 -y^(6), ...

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  3. In a geometric progression consisting of positive terms each term equa...

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  4. 1 + (0.04) + (0.04)^(2) + …. infty =

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  5. If |x| lt 1, y = x - x^(2) + x^(3) - x^(4) + ….. , the value of x in t...

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  6. If x = 1 + a + a^(2) + …. infty " , " y = 1 + b + b^(2) + …...

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  7. If x = sum(n = 0)^(infty) a^(n) , y = sum(n = 0)^(infty) b^(n) , z = s...

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  8. If exp{ (sin^(2) x + sin^(4) x + sin^(6) x + …. "Upto" infty) log(e) 2...

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  9. If exp { (tan^(2) x -tan^(4) x + tan^(8) x - tan^(6) x …. ) log(e) 16 ...

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  10. For 0 lt x lt pi the values of x which satisfy the relation 9^(1 + ...

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  11. Given that 0 lt x lt (pi)/(4), (pi)/(4) lt y lt (pi)/(2) and sum(k = 0...

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  12. The coefficient of x in (x^2 +(c )/(x))^5 is

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  13. (1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) +...

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  14. the sum to infinity of (1)/(7) + (2)/(7^(2)) + (1)/(7^(3)) + (2)/(7^(4...

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  15. The sum of an infinite G.P. is 2. If the sum of their squares is 4/3, ...

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  16. The least value of n for which 1 + 2 + 2^(2) + …… to n terms is great...

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  17. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

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  18. If (1 + 3 + 5 + …. +P ) + (1 + 3 + 5 + …. Q) = (1 + 3 + 5 + … r) where...

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  19. The greatest value on n so that 1 + 5 +5^(2) + 5^(3) + …. N terms is ...

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  20. 7 + 77 + 777 + …. N terms =

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