Question

The formula for the nth term of an arithmetic sequence can be found using the formula Which of the following is equivalent to this equation?

Answer 1

The formula for the nth term is

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

Answer 2

Answer:

$n^{th}$ 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 $n^{th}$ term, we can find it as

         $a_n=a+(n-1)d$

$n^{th}$ term of AP = a + (n-1) d