SOLUTION: if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero

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Question 684177: if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero
Answer by mananth(16946) About Me  (Show Source):
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if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero
I think the problem should be
if 5 times the 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero
T5 = a+4d
t19= a+18d
5(a+4d)=19(a+18d)

5a +20d=19a+342d

14a+322d=0

14(a+23d)=0
a+23d=0
..
.

t24= a+23d
But a+23d=0
therefore
T24=0