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What is the common difference between successive terms in the sequence? 2, 8, 14, 20, 26, ... –6 –4 4 6

Respuesta :

Answer:

6

Step-by-step explanation:

The common difference is 6.

What is Arithmetic Progression?

We can define an arithmetic progression (AP) in two ways:

An arithmetic progression is a sequence where the differences between every two consecutive terms are the same.

An arithmetic progression is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term.

For example, 1, 5, 9, 13, 17, 21, 25, 29, 33, ... has

a = 1 (the first term)

d = 4 (the "common difference" between terms)

In general an arithmetic sequence can be written like: {a, a+d, a+2d, a+3d, ... }.

Given:

2, 8, 14, 20, 26, ...

First term , a= 2

d= a2 - a1

d= 8-2

d=6

Again.

d= a5- a4

d= 26-20

d= 6

Hence, the common difference is 6.

Learn more about Arithmetic progression here:

https://brainly.com/question/20385181

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