What does 't(n)' represent in the equation for an arithmetic sequence?

t(n) represents the nth term in the sequence.

In the context of arithmetic sequences, what does 'growth' refer to, and how does it relate to the slope in a linear equation?

Growth refers to the constant difference between consecutive terms in the sequence. It is equivalent to the slope in a linear equation.

t(0) represents the term that comes before the first term listed in the sequence.

Grade 9th Grade · Math · 45 min

I can write an equation to represent an arithmetic sequence.

Kayla Jones · 4:03

Writing Equations for Arithmetic Sequences

3 key concepts

1
Arithmetic sequences are patterns that add or subtract the same number each time, and their points form a straight line when plotted.
2
The equation for an arithmetic sequence, t(n) = mn + b, is similar to y = mx + b, where 'm' represents the growth (or slope) and 'b' represents the t of zero term.
3
To find the t of zero term (b), calculate the term that comes before the first term in the sequence by using the opposite operation of the growth.

10 questions · Short answer

Quick comprehension check

“Write an equation to represent the following arithmetic sequence: 1, 6, 11, 16...”

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