Database - Indices

• Ahm97sic

  10 Jun 09, 12:19

  For “O” level Add Maths Students to practise

   

  Question

   

  Find the values of k and t if

   

  3²ⁿ⁺¹ − 3²ⁿ⁻¹

  ---------------- = k

     5 × 3^nt

   

  Thank you for your kind attention.

  Regards,

  ahm97sic

• Ahm97sic

  29 Jun 09, 01:30

  Question

   

  Find the values of k and t if

   

  3²ⁿ⁺¹ − 3²ⁿ⁻¹

  ---------------- = k

     5 × 3^nt

   

  ^Solution

   

  ^{(3^2n)(3^1) - (3^2n)(3^-1)}

  ^{------------------------------ = k}

               ^{5 x 3^nt}

   

  ^{3^2n[ 3 - 1/3]  = 5k x 3^nt}

   

  ^{By comparison,}

   

  ^{3^2n = 3^nt                and             8/3 = 5k}

   

     ^{2n  = nt                   and              8/15 = k}

   

         ^{t = 2                    and              k = 8/15}

   

  ^{Thank you for your kind attention.}

   

  ^Regards,

   

  ^ahm97sic