Question

The 19th term of an a.p is equal to the three time it's 6th term. If is 9th term is 19. Find a.p

Answer 1

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Answer 2

a+18 d=3(a+5 d)

a+18 d=3 a+ 15 d;

2 a- 3 d=0;----------------------(1)

a+8 d=19------------------------(2)

a=19-8 d

then substitute

2(19-8 d)-3 d=0

38-16 d-3 d=0

38=19 d

d=2;

then a=19-8(2)

a=19-16

a=3;

then a.p.=[3;5;7;9;11;...............]