Question

If 17 times the 17th term is equal to 25 times the 25th term then 45th term of the A.P is​

Answer 1

Step-by-step explanation:

in AP an = a + (n-1)d

17th term = a17 = a + (17-1)d = a + 16d

25th term = a25 = a + (25 - 1) d = a + 24d

it is given that

17 (a + 16d) = 25 (a + 24d)

17a + 272d = 25a + 600d

25a + 600d - 17a - 272d = 0

8a + 328d = 0

8 (a + 41d) = 0

a + 41d = 0

a + 41d is the 42nd term

a42 = 0

please check whether you require to find 42nd term or 45th term

if 45th term the given data is insufficient

hope you get your answer