Question

Which term of the ap 15,27,39.....will be 144 more than its 54th term

Answer 1

Answer:

Step-by-step explanation:

we know that an= a+(n-1)d

a=15  d=12 and

n=54

            a54 = 15+(54-1)12

                    =15+(53)12

                      =651

so 54th term=651 = a54

we need to calculate the term which is 144 more than 54th term

     i.e. should be   651+144=795

1. putting value in formula

an =a+(n-1)d

795=15+(n-1)12

  795-15=n-1×12

    780/12=n-1

65=n-1

n=66  

so, 66th  term is 144 more than 54th term