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

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) (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS
If 7 times the 7th term of an Ap is equal to 11 times its 11th term 'show that its 18th... (answered by ikleyn)

-the 4th term of an AP is 7 and the 9th term is 17 find the 15th term ?? -if 4 times the (answered by TheInstructor,mathgenboy)

The 4th term of an AP is zero. Prove that the 25th term of the A.P. is three times the... (answered by Fombitz)

An ap consists 25 terms, of which 4th term is 4 and 22nd term is 5.what would be the 19th (answered by josgarithmetic,greenestamps)

the 5th and 10th terms of an AP are -12 and -27 respectively. find the AP and is 15th... (answered by stanbon)

Given that for an AP seventh term is equal to 43,nth term and 2nd term is equal to... (answered by ewatrrr,richwmiller)

if the 5th term & 8th term =30 & if the 25th term is 3 times the 9th term . Find the... (answered by richwmiller)

if 7 times the seventh term of an A.P.is equal to 11 times the eleventh term,show that... (answered by ikleyn,MathTherapy)

If the 6th term of an AP is -10 and 10th term is -26. Determine the 15th term of an... (answered by josgarithmetic,TeachMath)