Help on Arithmetic Progression.

Introduction for Arithmetic progression:

There are two types of progressions .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 two consecutive numbers arrangement of progression which is constant.
Examples for Arithmetic Progression

Example 1:

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

Solution:

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

Here, a = 6, d = 1 – 6 = –5, n = 12

t_n = a + (n–1) d

t₁₀ = 6 + (10 – 1) (–5) = 6 + 9 x (–5) = 6 – 45 = – 39

:. The 12th term is –39. This could also help us on elements and compounds

There are three types of Progression in math,

• Arithmetic progression
• Geometric progression
• Harmonic progression