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Question

Question: a \(\left( \frac { 1 } { b } + \frac { 1 } { c } \right)\), b <img src="https://cdn.pureessence.tech...

a (1b+1c)\left( \frac { 1 } { b } + \frac { 1 } { c } \right), b , c are in A.P. then-

A

, ,are in A.P.

B

a, b, c are in H.P.

C

, , are in G.P.

D

a, b, c are in A.P.

Answer

a, b, c are in A.P.

Explanation

Solution

,, c(a+b)ab\frac { c ( a + b ) } { a b } are in A.P.

(b – a) (cb + ca + ab) =(c – b). (ac + ab + cb)

(b – a) = (c – b) ; so a, b, c are in A.P.