Question

solve this : if a,b,c are in H.P. Prove that :
b+c-a/a, c+a-b/b, a+b-c/c are in A.P.

Answer 1

Answer:

We can prove it in reverse way

adding 1 ,b+c-a /a + 1 ,c+a-b /b +1 , a+b-c/c + 1 =b+c/a ,c+a/b ,a+b/c.

adding 1 again, we get a+b+c/a ,a+b+c/b ,a+b+c/c

cancelling the numerator we get 1/a,1/b,1/c which are thus also in A.P.

Step-by-step explanation:

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