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mujtabazarrar

  • 2 years ago

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

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  1. shubhamsrg
    • 2 years ago
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    whats your progress so far ?

  2. mujtabazarrar
    • 2 years ago
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    i have to solve it back wards......

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

  4. shubhamsrg
    • 2 years ago
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    and ad=c^2 ,also ad=bc

  5. shubhamsrg
    • 2 years ago
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    correction: bd=c^2

  6. shubhamsrg
    • 2 years ago
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    its upside down,,please re-adjust..

  7. shubhamsrg
    • 2 years ago
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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

  8. shubhamsrg
    • 2 years ago
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    you have to prove LHS = RHS start with any, say LHS

  9. shubhamsrg
    • 2 years ago
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    substitute b^2 = ac c^2 = bd

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

  11. mujtabazarrar
    • 2 years ago
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  12. mujtabazarrar
    • 2 years ago
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