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If 19th term of a non-zero AP is zero, t...

If 19th term of a non-zero AP is zero, then its (49th term) : (29 th term) is

A

`1 : 3`

B

`4 : 1`

C

`2 : 1`

D

`3 : 1`

Text Solution

Verified by Experts

The correct Answer is:
D
Let `t_(n)` be the nth term of given AP. Then, we have `t_(19) = 0`
`rArr a + (19 -1) d = 0 " " [ :' t_(n) = a + (n -1)d]`
`rArr a + 18d = 0` ...(i)
Now, `(t_(49))/(t_(29)) = (a + 48d)/(a + 28d)`
`= (-18d + 48d)/(-18d + 28d)` [using Eq. (i)]
`= (30d)/(10d) = 3 :1`
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