Question

The 19 term of an ap is three times its sixteen term If 9term is 19 find ap​

Answer 1

please check if it's correct☺️☺️

Answer 2

According to Q

a+18d=3(a+5d)....Eq(1)

a+8d=9.....Eq(2)

a=9-8d

value of a put in Eq....(1)

a-8d+18d=3(9-8d+5d)

a+10d=3(9-3d)

9+10d=27-9d

10d+19d=27-9

19d=18

d=18/19

value of d put in Eq..(2)

a+8*18/19=9

a=9-8*18/19

a=9-144/19

a=188-144/19

a=27/19

value of a &d put the in 19 term of AP

a19=a+18d

=27/19+18*18/19

=27+324/19

=351/19