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Practice 1 table with sequences, patterns, types, recursive and explicit formulas.

Table showing sequences with patterns, types, recursive formulas, and explicit formulas for arithmetic and geometric sequences.

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Show Answer Key & Explanations Step-by-step solution for: Lesson 3.1.3: Arithmetic and Geometric Sequences - Algebra 1 With ...

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-2, 2, 6, 10, ...
add 4
Arithmetic
A(n+1) = A(n) + 4
A(1) = -2
A(n) = -2 + 4(n-1) or A(n) = 4n - 6

2, 4, 8, 16, ...
multiply 2
Geometric
A(n+1) = A(n) · 2
A(1) = 2
A(n) = 2 · 2^(n-1) or A(n) = 2^n

2, -3, -8, -13, ...
subtract 5
Arithmetic
A(n+1) = A(n) - 5
A(1) = 2
A(n) = 2 - 5(n-1) or A(n) = -5n + 7

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

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