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mujtabazarrar Group Title

If a b c and d are in G.P, prove that a-b, b-c , c-d are in geometric prgrogression......

  • one year ago
  • one year ago

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  1. shubhamsrg Group Title
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    whats your progress so far ?

    • one year ago
  2. mujtabazarrar Group Title
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    i have to solve it back wards......

    • one year ago
  3. shubhamsrg Group Title
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    yep.. you'll have to prove (a-b)(c-d)=(b-c)^2 using ac=b^2

    • one year ago
  4. shubhamsrg Group Title
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    and ad=c^2 ,also ad=bc

    • one year ago
  5. shubhamsrg Group Title
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    correction: bd=c^2

    • one year ago
  6. shubhamsrg Group Title
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    its upside down,,please re-adjust..

    • one year ago
  7. shubhamsrg Group Title
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    anyways,,i could read it,,and you'll done right till now..i'll write the last step here b^2 + c^2 -2bc = ac+bd-bc-ad

    • one year ago
  8. shubhamsrg Group Title
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    you have to prove LHS = RHS start with any, say LHS

    • one year ago
  9. shubhamsrg Group Title
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    substitute b^2 = ac c^2 = bd

    • one year ago
  10. shubhamsrg Group Title
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    also we know bc=ad so 2bc = bc + ad make these substitutions and there it is..

    • one year ago
  11. mujtabazarrar Group Title
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    • one year ago
  12. mujtabazarrar Group Title
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    • one year ago
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