How do we work out the nth term?

Book A Demo Class

Arithmetic Progressions – An arithmetic progression is a series in which each term is derived by addition or subtraction of a common numeral to its previous term. The Arithmetic sequence formula is used for determining the n^th term of an arithmetic progression.

The n^th term formula is as below.

a_n= a₁ + (n – 1) d

a_n = n^th term to be calculated. a₁ = the 1^st term of the series.

n = number of terms. d = common difference

EXAMPLE

Find the 30^th term of the arithmetic progression 0, 2, 4, 6, 8, 10, 12, 14, ……

The series = 0, 2, 4, 6, 8, 10, 12, 14, ……

By applying the nth term formula:

a_n= a₁ + (n – 1) d

a₁ = 0 n = 30 d = 2

a₃₀ = 0 + (30 – 1) 2

a₃₀ = 29 × 2