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Question

Find the 12th24th and nth term of the A.P. given by 9, 13, 17, 21, 25, .........


Solution

We have,

a = First term = 9 and,

d = Common difference = 4    [Since, 13 – 9 = 4, 17 – 13 = 4, 21 – 7 = 4 etc.]

We know that the nth term of an A.P. with first term a and common difference d is given by

an=a+(n1)d

Therefore,

a12=a+(121)d

     =a+11d

      =9+11×4

      =53

a24=a+(241)d

     =a+23d

      =9+23×4

      =101

and,

an  = a + (n – 1) d

     =9+(n1)×4=4n+5

           

  a12 = 53, a24 = 101 and an = 4n + 5

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