If 10 times the 10th term of an ap

Asked by admin @ 16/08/2021 in Math viewed by 300 People

if 10 times the 10th term of an A.P is equal to 15 times the 15th term, show that 25th term of an A.P is zero

Answered by admin @ 16/08/2021

According to question ,
10 x 10th term =15 x 15th term
let a is the first term and d is the common difference .
10 (a+9d)=15 (a+14d)

5a+120d=0

a +24d=0
now ,
25th term =a+(25-1) d=a+24d=0
hence 25th term=0

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