Math miscellaneousHard
Question
Two AM′s A1 and A2, two GM′s G1 and G2 and two HM′s H1 and H2 are inserted between any two numbers then H1-1 + H2-1 equals :-
Options
A.A1-1 + A2-1
B.G1-1 + G2-1
C.
D.
Solution
a, A1, A2, b are in A.P.
then A1 + A2 = a + b ......(1)
a, G1, G2, b are in G.P.
G1 G2 = ab .....(2)
a, H1, H2, b are in H.P.
⇒
then A1 + A2 = a + b ......(1)
a, G1, G2, b are in G.P.
G1 G2 = ab .....(2)
a, H1, H2, b are in H.P.
⇒
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