Arithmetic Sequence as Linear Function Representation

00:00 3 marks

Consider an arithmetic sequence whose n-th term is given by \(a_n = a + (n-1)d\). Show how this expression can be rearranged to match the linear form \(y = mx + c\), and explain the relationship between the parameters \(a\) and \(d\) with the slope and y-intercept of the linear model.

Hint Hint

Hint

Think of \(a_n\) as \(y\) and \(n\) as \(x\). Rearrange the formula to isolate \(n\) and identify the coefficient of \(n\) and the constant term.

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\(a_n = d\,n + (a-d)\)

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Arithmetic Sequence as Linear Function Representation

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Arithmetic Sequence as Linear Function Representation

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