Question

Which term in ap 3, 15, 27, 39 so on will be 132 more than 54th term?

Answer 1

a=3

d=12

a54=3+(54-1)12=3+53(12)=3+636=639

132 more than 54th term=639+132=771

771=3+(n-1)12

768/12=n-1

64+1=n

65=n

Therefore 65th term will be 132 more than 54th term

Answer 2

a=3

d=15-3=12

n=54

54th term=3+(54-1)12

=3+636

=639

nth term=54th term+132=639+132=771

=>771=3+(n-1)12

=>3+12n=771+12=783

=>12n=783-3=780

=>n=780/12=65

Hence the 65th term of the AP will be 132 more than its 54th term.