Question 56303
So your pattern would be ...
a + b = c .... b + c = d .... c + d = e .... and so on
4, 3, 7, 10, 17, 27, 44 ....

27/44 is the ratio of the 6th and 7th terms.  

The golden ratio is approx 1.618 .....
so the ratio of the 6th to 7th is NOT close to the golden ration ...
the ratio of the 7th to the 6th .... 44/27  IS close to the golden ratio.