Institutions: Global | Authors |Cars | Courseware |Ekurhuleni Libraries | Joburg Libraries | Startups | Tools |Tshwane Libraries | Math Worksheets | Visual Statistics

MathsGee is Zero-Rated (You do not need data to access) on: Telkom |Dimension Data | Rain | MWEB

0 like 0 dislike
5 views
What is the common difference in an arithmetic sequence?
| 5 views

## 1 Answer

0 like 0 dislike
Best answer

An arithmetic sequence is a sequence where consecutive terms are calculated by adding a constant value (positive or negative) to the previous term. We call this constant value the common difference ($d$).

For example,

$3;0;−3;−6;−9;…$

This is an arithmetic sequence because we add $−3$ to each term to get the next term:

 First term $T_{1}$ $\text{3}$ Second term $T_{2}$ $3 + (-3) =$ $0$ Third term $T_{3}$ $0 + (-3) =$ $-\text{3}$ Fourth term $T_{4}$ $-3 + (-3) =$ $-\text{6}$ Fifth term $T_{5}$ $-6 + (-3) =$ $-\text{9}$ $\vdots$ $\vdots$ $\vdots$ $\vdots$

by Wooden (1,878 points)

0 like 0 dislike
0 answers
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer
0 like 0 dislike
1 answer