if the 9th term of an A.P is zero then show thay the 29th term is twice the 19th term​

2 thoughts on “if the 9th term of an A.P is zero then show thay the 29th term is twice the 19th term​”

1. Step-by-step explanation:

   Let the first term of an A.P. = a

   And common difference = d

   Given: 9th term of an A.P. is 0. Therefore,

   We have to prove that

   Thus,

   And

   From equation (2) and (3),

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2. Answer:

   Given: a9=0

   To Prove: a29=2(a19)

   Proof: a9=0

   a+8d=0

   a=-8d

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

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

   20d=-16d+36d

   20d=20d

   Hence Proved

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