Sequence And Series Question 127

Question: If the 9th term of an A.P. be zero, then the ratio of its 29th and 19th term is

Options:

A) 1 : 2

B) 2 : 1

C) 1 : 3

D) 3 : 1

Show Answer

Answer:

Correct Answer: B

Solution:

Given that $ 9^{th} $ term $ =a+(9-1)d=0 $
$ \Rightarrow a+8d=0 $ Now ratio of $ 29^{th} $ and $ 19^{th} $ terms $ =\frac{a+28d}{a+18d}=\frac{(a+8d)+20d}{(a+8d)+10d}=\frac{20d}{10d}=\frac{2}{1} $ .