Question
1. If a=97.5, b=100, c=102.95 then find a^2+b^2+c^2-ab-bc-ca
Solution :-
concept - if a,b,c are arithmetic progression ( A.P )
a^2+b^2+c^2-ab-bc-ca = 3 x ( common difference )^2
In this problem the difference between the values are 2.5.
= 3 x (2.5)^2
= 3 x 6.25
Ans = 18.75