Question

if 10 times of the 10th term of AP is equal to 15 times of 15 term show that 25 term of AP is zero​

Answer 1

Answer:

the solution is given below.

Step-by-step explanation:

according to question ,

10 x 10th term = 15 x 15th term

let a be the first term

and d is the common difference .

10 (a + 9d) = 15 (a + 14d)

solving further we get,

5a + 120d = 0

a +24d=0

now ,

25th term = a+(25-1) d

= a+24d=0

hence 25th term=0