The correct option is
C the points P, Q, R are collinear
Given S = { 1 ,2 ,3 , 5 , 8 , 13 , 21 , 34 } ,
∑max(A)⇒If P≡(1xp,P) , Q≡(1xq,q) , R≡(1xr,r) where xk≠0
We know,
If 1x1,1x2,1x3,−−−−−−−−−1xk are in H.P.
then a1,a2,a3,−−−−−−−−−ak are in A.P.
where 1x1=a1,1x2=a2, and 1xp=ap≡a1+(p−1)d.
1xq=aq=a1+(q−1)d,1xr=ar=a1+(r−1)d.
slope of PQ=(q−p)(q−p)d=1d
slope of QR=(r−q)(r−q)d=1d
slope of PR=(r−p)(r−p)d=1d
All have same slope, hence all points are collinear.