If a, b, c are in G.P., then prove that :
As a,b,c are in GP
Note:
1. In general, the GP series is like a,ar,ar2……….
2. In this, b = ar and c = br = ar2
So we proceed forward with the aim to equalize LHS and RHS of the equation to be proved using the above ideas.
L.H.S =
⇒ LHS =
⇒ LHS =
Now
R.H.S =
⇒ RHS =
∴ RHS = 1/r
Clearly we observed that,
LHS = RHS = (1/r) …Proved