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In a G.P. of positive terms, for a fixed...

In a G.P. of positive terms, for a fixed n,the nth term is equal to sum of the next two terms. Then the common ratio of the G.P. is

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Knowledge Check

  • In a GP of positive terms, if any term is equal to the sum of the next terms. Then the common ratio of the GP is

    A
    `sin 18^(@)`
    B
    `2 cos 18^(@)`
    C
    `cos 18^(@)`
    D
    `2 sin 18^(@)`

  • In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then the common ratio of this GP series is

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

  • In a GP of positive terms, any term is equal to one-third of the sum of next two terms. What is the common ratio of the GP?

    A
    `(sqrt(13)+1)/(2)`
    B
    `(sqrt(13)-1)/(2)`
    C
    `(sqrt(13)+1)/(3)`
    D
    `sqrt(13)`

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