Arithmetic Sequences worksheet with exercises for students to identify arithmetic sequences and calculate common differences and terms.

Worksheet on arithmetic sequences with problems to determine if sequences are arithmetic and find common differences or terms.

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1) Arithmetic, d = -6.7
2) Not arithmetic
3) Arithmetic, d = -5.8
4) Arithmetic, d = 6
5) a₁ = 19.5, a₂ = 12.7, a₃ = 5.9, a₄ = -0.9; a₁₀ = -32.5
6) a₁ = 15, a₂ = 5, a₃ = -5, a₄ = -15; a₅ = -25
7) a₁ = 20, a₂ = 29, a₃ = 38, a₄ = 47; a₈ = 83
8) a₁ = 30, a₂ = -5, a₃ = -40, a₄ = -75; a₉ = -250
9) a₁ = 25, a₂ = 125, a₃ = 225, a₄ = 325; aₙ = 25 + 100(n-1)
10) a₁ = 5, a₂ = 10, a₃ = 15, a₄ = 20; aₙ = 5 + 5(n-1)
11) a₁ = 24, a₂ = 9, a₃ = -6, a₄ = -21; aₙ = 24 - 15(n-1)
12) a₁ = 9, a₂ = -41, a₃ = -91, a₄ = -141; aₙ = 9 - 50(n-1)

Parent Tip: Review the logic above to help your child master the concept of arithmetic series worksheet.

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