Respuesta :

the formula for the nth term is

a1 + (n-1)d     where a1 = first term and d = common difference

Answer:

[tex]n^{th}[/tex] term of AP = a + (n-1) d

Step-by-step explanation:

Let the first term of arithmetic progression be a and common difference be d.

We have the AP

     a , a + d, a+ 2d, a+3d..............................

     a + (1-1)d , a + (2-1)d, a + (3-1)d, a + (4-1)d..............................

So if we need [tex]n^{th}[/tex] term, we can find it as

         [tex]a_n=a+(n-1)d[/tex]

[tex]n^{th}[/tex] term of AP = a + (n-1) d