Question

Using suitable examples explain and illustrate Arithmetic progression

Answer 1

Step-by-step explanation:

Arithmetic Progression

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same. In an arithmetic progression, there is a possibility to derive a formula for the nth term. For example, the sequence 2, 6, 10, 14, … is an arithmetic progression (AP) because it follows a pattern where each number is obtained by adding 4 to its previous term. In this sequence, nth term = 4n-2. The terms of the sequence can be obtained by substituting n=1,2,3,... in the nth term. i.e.,

When n = 1, 4n-2 = 4(1)-2 = 4-2=2

When n = 2, 4n-2 = 4(2)-2 = 8-2=6

When n = 3, 4n-2 = 4(3)-2 = 12-2=10

But how do we find the nth term of a given sequence? Let us learn about arithmetic progression in this article with solved examples.

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