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What is the common difference in an arithmetic sequence?
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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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