How to get nth term of an A.P.

1.	How to get nth term of an A.P.
Answer» 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.

Answer»

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.

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