If 19^{{th}{~}} term of a non-zero A.P. is zero, then if ( 49^{{th}{~}} term) : ( 29^{{th}{~}} .\ term ) is: Sequence & Series (Mathematics)

a

be the first term and

d

be the common difference.\n \nGiven,

a_{19}=a+18 d=0 \Rightarrow a=-18 d

\n\therefore \frac{a+48 d}{a+28 d}=\frac{-18 d+48 d}{-18 d+28 d}=\frac{30 d}{10 d}=\frac{3}{1}\n

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