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What is the common difference in an arithmetic sequence?
in Mathematics by Wooden (1,878 points)
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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)

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