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In a GP. of positive terms, for a fixed ...

In a GP. 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

A

`((sqrt5-1)/2)`

B

`((sqrt5+1)/2)`

C

`-((sqrt5+1)/2)`

D

`((1-sqrt5)/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Let 1st term of G.P. is a and common ratio is r so a , ar , `ar^2`,…… are in GP such that a>0,r> 0
Now , according to given condition a=ar+`ar^2 rArr r^2 + r-1=0 rArr r=(-1+sqrt5)/2`
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