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Rajan@2021
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The 4th term of an AP is zero. Prove that it’s 25th term is triple it’s 11th term.

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An important question from Arithmetic progression chapter as it was already asked in previous year paper of 2005 in which 4ht term is 0 and we have to prove that it’s 25th term is triple it’s 11th term.

RS Aggarwal, Class 10, Arithmetic Progression, chapter 5A, question no 27

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  1. Let first term of an A.P=a
       common difference of A.P=d

    According to question,
                 a+3d=0…….(1)
          25th term =a+24d

          from (1)…a=3d
              =>  3d+24d
              =>  21d…..(2)

         11th term=a+10d
                        =3d+10d
                        =7d…..(3)

     By (3) and(2)        25th term=3× 11th term

               Hence proved

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