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In a geometric progression consisting...

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 (1) `1/2(1-sqrt(5))` (2) `1/2sqrt(5)` (3) `sqrt(5)` (4) `1/2(sqrt(5)-1)`

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

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Knowledge Check

  • 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 is equal to

    A
    `1/2(1-sqrt5)`
    B
    `1/2sqrt5`
    C
    `sqrt5`
    D
    `1/2(sqrt5-1)`

  • In a geometrical progression first term and common ratio are both (1)/(3) (1 sqrt"" 3 + i) . Then the absolute value of the nth term of the progression is

    A
    `2^(n)`
    B
    `4^(n)`
    C
    1
    D
    none of these
    • JEE MAINS PREVIOUS YEAR-SEQUENCES AND SERIES-All Questions
    1. In a geometric progression consisting of positive terms, each term ...

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

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    3. The average marks of boys in a class is 52 and that of girls is 42....

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    4. The first two terms of a geometric progression add up to 12. The su...

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    5. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

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

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