Welcome to Algebra I
Explicit Formulas – ***most commonly used***Used to find any term in either type of sequenceNeed to know a1, d (common difference for arithmetic) or r (common ratio for geometric)Arithmetic Formula:an=a1+d(n-1)Geometric Formula:an=a1rn-1Recursive FormulasAllows you to find the nth term in a sequence if you know the value of the n-1th term of the sequenceNeed to know a1, an-1, d (common difference for arithmetic) or r (common ratio for geometric)Arithmetic Formula:an=an-1+dGeometric Formula:an=ran-1Practice (Arithmetic Sequences): Write the recursive rule for each sequence.7, 13, 19, 25, …30, 26, 22, 18, …-5, -8, -11, -14, …-2, 0, 2, 4, …8, 6, 4, 2, …Practice (Geometric Sequences): Write the recursive rule for each sequence.3, 9, 27, …1, 5, 25, …6, -12, 24, …5, -15, 45, -135, …729, -243, 81, … ................
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