Question 1019397
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In a geometric progression {{{highlight(cross(coasting))}}} consisting of positive terms each term equals 
to the sum of the next two terms then the common ratio is 
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<pre>
{{{a[n]}}} = {{{a[n+1] + a[n+2]}}}  --->  {{{a[1]*q^(n-1)}}} = {{{a[1]*q^(n)}}} + {{{a[1]*q^(n+1)}}}  --->  {{{1}}} = {{{q + q^2}}}  --->  {{{q^2 + q - 1}}} = {{{0}}}  --->

q = {{{(sqrt(5)-1)/2}}}.


It is your answer.
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