Find the first postive term of the progression -100, -96, -92... help please :) like to ask

What this question means is that find the first positive term in the sense that it is asking first term, second term, ... nth term in general. We need to find n.

Zero is neither positive nor negative, hence 4 is the answer.

Now, since we have an AP, first term = a = -100,
difference = d = 4
nth term = tn = 4

We know that tn = a + (n-1)*d
Substituting,

4 = -100 + (n-1)*4
104 = 4n - 4
108 = 4n
2n = 54
n = 27

27th term which is 4 is the first positive term.

...keeping in mind that ZERO is neither positive nor negative, the first positive term is:

4

should be obvious...

@ß