Arithmetic SequencesAdd the same amount each time, and the formula that jumps to any term.9th GradeIn an arithmetic sequence each term is the previousone plus a constant common difference d.aₙ = a₁ + (n − 1)d3, 7, 11, 15…d = 4Subtract any term from the next.Find the 20th terma₂₀ = 3 + 19(4) = 79n − 1, not n. The first term needs no jumps.−2, −5, −8…d = −3A negative difference means it decreases.Graph ita straight lineConstant difference means constant slope.THE COMMON MISTAKEa₂₀ = 3 + 20(4)a₂₀ = 3 + 19(4)Getting from term 1 to term 20 takes 19 steps, not 20.Arithmetic sequences are linear functions on the whole numbers. d isthe slope.Arithmetic Sequenceslearnposters.com
Arithmetic Sequences — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Arithmetic Sequences poster

The rule, 4 worked examples, and the mistake everyone makes.

Arithmetic sequences are linear functions on the whole numbers. d is the slope.

Questions about the Arithmetic Sequences poster

What’s on the Arithmetic Sequences poster?
The rule, 4 worked examples, and the mistake everyone makes. In an arithmetic sequence each term is the previous one plus a constant common differ…; aₙ = a₁ + (n − 1)d; 3, 7, 11, 15… = d = 4; Find the 20th term = a₂₀ = 3 + 19(4) = 79; −2, −5, −8… = d = −3; Graph it = a straight line; Common mistake: a₂₀ = 3 + 20(4) → a₂₀ = 3 + 19(4). Arithmetic sequences are linear functions on the whole numbers. d is the slope.
Who is the Arithmetic Sequences poster for?
Arithmetic Sequences is filed under 9th Grade (ages 14–15), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Arithmetic Sequences poster?
Find the common difference first. If it is not constant, this is not an arithmetic sequence. A wall chart earns its place by being glanceable from where the work is happening, so Arithmetic Sequences belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Arithmetic Sequences?
Absolute Value Equations, Difference of Squares and Exponential Functions sit alongside Arithmetic Sequences in the 9th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Absolute Value EquationsDifference of SquaresExponential Functions
Is the Arithmetic Sequences poster free to download and print?
Yes. Arithmetic Sequences downloads as a free PDF with no account, no email and no watermark, like everything else in the 9th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Arithmetic Sequences poster print at?
Arithmetic Sequences is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Arithmetic Sequences loses nothing.Printing guide

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