AdoniYasipsa AdoniYasipsa
  • 24-08-2020
  • Mathematics
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If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.​

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sthashreya1220
sthashreya1220 sthashreya1220
  • 24-08-2020
  1. 1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
  2. 1/b+1/b = 1/c+1/a
  3. 2/b = (a+c)/ac
  4. 2ac = b(a+c)
  5. 2ac/(a+c) =b

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