Question

Which term of AP: 25,22,19....is the first negative term

Answer 1

Answer:

10th term

Step-by-step explanation:

In the given A.P. 25,22,19,…

Let nth term be first -ve term.

First term (a) = 25 and common difference(d) is -3.

Since it is a -ve term so it is < 0. By the nth term formula of ap we have tn = a +(n-1)d hence tn < 0 .

=> a + ( n -1) * d < 0

=> 25 + (n- 1) * -3<0

=> 25 - 3n + 3<0

=> 25 - 3n < -3

=> -3n < -28

=> 3n > 28

=> n > 9

Hence it is 10th term.

#Hope my answer helped you!