Arithmetic SequencesAdd the same amount each time — and the formula that jumps…9th GradeIn an arithmetic sequence each term is theprevious one plus a constant common differenced.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 MISTAKE✗ a₂₀ = 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 Sequenceswww.littleactivity.com

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Math · 9th Grade

Arithmetic Sequences

Add the same amount each time — and the formula that jumps straight to any term.

How to use it

Find the common difference first. If it is not constant, this is not an arithmetic sequence.

Free · print-ready PDF · US Letter and A4

Grade
9th Grade
Ages
14–15
Subject
Math
Pages
1

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