Question

-74,-68,-62

In this AP how many negative terms are there

Answer 1

A.P. -74 , -68 , -62, ...

First term = a = -74

Common difference = d = -68 - (-74) = 74 - 68 = 6

Formula of nth term of A.P Tn = a + ( n - 1 ) d

Now check if 0 is a term in this AP

Using formula

0 = -74 + (n - 1) 6

74 = 6n - 6

6n = 80 ==> n = 80/6 =13.33..

Therefore 0 is not a term in the AP

Now check -2 is term in this AP

-2 = -74 + (n - 1) 6

72 = 6n - 6

6n = 78

n = 78/6 = 13

Therefore there will be 13 -ve terms