if a,b,c, and d are in GP, show that
(b-c)^2 + (c-a)^2 + (d-b)^2 = (a-d)^2
a, b, c and d are in GP.
Let the common ratio be r.
∴b = ar, c = ar2, d = ar3
Now,
L.H.S.
= R.H.S.
Hence, proved.
What are you looking for?
if a,b,c, and d are in GP, show that
(b-c)^2 + (c-a)^2 + (d-b)^2 = (a-d)^2
a, b, c and d are in GP.
Let the common ratio be r.
∴b = ar, c = ar2, d = ar3
Now,
L.H.S.
= R.H.S.
Hence, proved.