Question

How to get nth term of an A.P.

Answer 1

nth term of an A.P.: 

The nth term of an A.P. a, a + d, a + 2d, a + 3d, ... is 

T_n = a + (n – 1)d 

where T_n denotes nth term, a the first term, n the number of terms and d the common difference. 

Also, common difference d = T_n – T_n–1.

Ex. 

The 9th term of the A.P.: 2, 5, 8.... is

T₉ = 2 + (9 – 1) × 3 = 2 + 24 = 26.

Note : Here a = 2, d = 3.