Wednesday, August 11, 2010

Arithmetic progression

Introduction to Arithmetic progression:

In this article, we shall discuss about arithmetic progression. Progressions are of two types .They are arithmetic and geometric progression. An Arithmetic progression which consists of the sequence of numbers and the terms except the first can be obtained by adding one number to its preceding number. Arithmetic progression is denoted as the arrangement of two consecutive numbers, the progression which is constant.

Example Problems for Arithmetic Progression

Example 1:

The sequence terms of an A.P. 6, 1, –4...Find the 10th term.

Solution:

Consider the A.P in the form a, a + d, a + 2d, ...

Here, a = 6, d = 1 – 6 = –5, n = 12

tn = a + (n–1) d. This could also help us on grade 9 math

t10 = 6 + (10 – 1) (–5) = 6 + 9 x (–5) = 6 – 45 = – 39
:.The 12th term is –39.

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