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in a geometric progression consisting o...

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

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

D

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

Text Solution

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The correct Answer is:
D
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MOTION-SEQUENCE & SERIES -Exercise -4 Level -I Previous Year /JEE Main
  1. in a geometric progression consisting of positive terms, each term eq...

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  2. If p and q are positive real numbers such that p^2+q^2=1 , then the ma...

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  3. the sum of the series 1/(2!)-1/(3!)+1/(4!)-....... upto infinity is

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  4. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

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  5. A person is to count 4500 currency notes. Let an denote the number o...

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  6. Statement 1 The sum of the series 1+(1+2+4)+(4+6+9)+(9+12+16)+"……."+(...

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  7. If 100 times the 100^(t h) term of an AP with non zero common diffe...

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  8. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

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  9. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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  10. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

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  11. Three positive numbers form an increasing GP. If the middle term in th...

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  12. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

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  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  14. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

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  15. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

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  16. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

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  17. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

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  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

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  19. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

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