1. Chapter 8 Class 11 Sequences and Series
  2. Serial order wise
  3. Miscellaneous
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Question 9 - Miscellaneous - Chapter 8 Class 11 Sequences and Series

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Misc 16 If a(1/( ) " + " 1/ ), b(1/ " + " 1/ ), c(1/ " + " 1/ ) are in AP., prove that a, b, c are in AP Given that a(1/( ) " + " 1/ ), b(1/ " + " 1/ ), c(1/ " + " 1/ ) are in AP. If a(1/( ) " + " 1/ ), b(1/ " + " 1/ ), c(1/ " + " 1/ ) are in AP Adding 1 to each term a(1/( ) " + " 1/ ) + 1, b(1/ " + " 1/ ) + 1, c(1/ " + " 1/ ) + 1 are in AP a(1/( ) " + " 1/ ) + / , b(1/ " + " 1/ ) + / , c(1/ " + " 1/ ) + / are in AP a (1/( ) " + " 1/ " + " 1/ ) , b(1/ " + " 1/ " + " 1/( )) , c(1/ " + " 1/( ) " + " 1/ ) are in AP Divide each term by (1/ " + " 1/( ) " + " 1/ ) (1/( ) " + " 1/ " + " 1/ )/(1/ " + " 1/( ) " + " 1/ ), (1/ " + " 1/ " + " 1/( ))/(1/ " + " 1/( ) " + " 1/ ), (1/ " + " 1/( ) " + " 1/ )/(1/ " + " 1/( ) " + " 1/ ) are in AP a, b, c are AP Hence, a, b, c, are in AP Hence proved

  1. Chapter 8 Class 11 Sequences and Series
  2. Serial order wise

    3. Miscellaneous

    Arithmetic Progression →
Arithmetic Progression →
Chapter 8 Class 11 Sequences and Series
Serial order wise

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo