Arithmetic Sequence Equations
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Objective
I can write an equation to represent an arithmetic sequence.
Part 1 of 4
Warm-up video
Kayla Jones · 4:03
We don't generate video — this one is by Kayla Jones on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 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.
Part 3 of 4
Practice
10 questions
What does 't(n)' represent in the equation for an arithmetic sequence?
In the context of arithmetic sequences, what does 'growth' refer to, and how does it relate to the slope in a linear equation?
Part 4 of 4
Exit ticket
Quick comprehension check
“Write an equation to represent the following arithmetic sequence: 1, 6, 11, 16...”
Sample answer included in the free materials
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Teacher Guide
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