if 9th term of an ap is zero, prove that its 29th term is double of 19th term
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- a+8d=0. eqn 1
- a29=2(a19)
- a+28d=2(a+18d)
- a+28d=2a+36d
- a-2a+28d-36d=0
- -a-8d=0
- -a=8d
- a+8d=0. eqn 2
- Subtract equation 1 from 2
- (a+8d)-(a+8d)=0
- a+8d-a-8d=0
- Therefore,0=0
- Hence,proved
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