Question

Find the first negative term of A.P. 129,120,111,102,.........

Answer 1

Answer:

Step-by-step explanation:

Given AP is:  129,120,111,102,.........

Where the first term a = 129

common difference d = 120 - 129 = -9

Let nth term is the first negative term in AP

Now nth tern in AP = a + (n-1)*d

                          = 129 + (n-1)*(-9)

                          = 129 - 9n + 9

                          = 138 - 9n

By taking value of n = 16, we get

 nth term  = 138 - 9*16

                = 138 - 144

                = -6

So 16th term is the first negative term of given AP