find the no of triplets of integers in arithmatic progression is sum of whose is 1994

1. 36

2. 45

3. 12

4. does not exist

Are you sure it is integer as I think it must be natural numbers and not integers as the first term is negative infinity!!

let a-d , a, a+d be the 3 numbers. than 3a = 1994

a = 664.67

ie no integers like that