If a,b,c are in HP then:
  1. a/b+c-a, b/c+a-b, c/a+b-c are in HP
  2. 2/b = 1/b-a +1/b-c
  3. a-b/2 , b/2 ,c-b/2 are in GP
  4. a/b+c, b/a+c , c/a+b are in HP

Dear student

We have a,b,c are in HP.so,1a, 1b, 1c are in AP2b=1a+1c1c=2b-1a1c = 2a-babc=ab2a-bNow, 1b-a+1b-c=1b-a+1b-ab2a-b=1b-a+2a-bb2a-b-ab=1b-a+2a-b2ab-b2-ab=1b-a+2a-bab-b2=1b-a+2a-bba-b=1b-a - 2a-bbb-a=b-2a+bbb-a=2b-2abb-a=2b-abb-a=2b

option 2

Regards

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