Question

if the 9th of an AP.is zero than show that the 29th term is twice the 19th term

Answer 1

Hii friend,

Let the first term of an AP be A and the common difference be D.

According to question,

9th term = 0

a+8d = 0

a = -8d

To Prove,

29th term = 12(19th term)

a+28d = 2(a+18d)

-8d +28d = 2(-8d+18d)

20d = 2(10d)

20d = 20d

Hence,

LHS = RHS = 20d.....PROVED.....

HOPE IT WILL HELP YOU.... :-)

Answer 2

Hey!!!!

I'll solve on paper for best understanding
Plz refer to the attachment

Hence Proved

Hope this helps