Arithmetic & Geometric Sequences

Match each term with its definition. Sequence A set of numbers that follows a pattern. Term Each number in a sequence. Arithmetic Sequence A sequence followed by adding a fixed number to the previous term. Geometric Sequence A sequence found by multiplying the previous term by a fixed number. Common Difference The fixed number added to the previous term in an arithmetic sequence. Common Ratio The fixed number multiplied to the previous term in a geometric sequence. Sort the following into Arithmetic Sequences, Geometric Sequences, Neither, or Both. Arithmetic 2, 8, 14, 20,... 90, 80, 70, 60,... -1, -5, -9, -13,... 24, 19, 14, 9, ... -18, -15, -12, -9, -6, ... Geometric 1, 5, 25, 125, ... 1000, 500, 250,... 1, -3, 9, -27,... 1.5, 3.0, 6.0, 12.0, ... 2, -4, 8, -16 Neither 1, 2, 4, 7, 11, ... 1, 4, 9, 16, 25, ... -2, -1, 2, 7, 14,... -13, -6, -1, 2, 3,... Both 4, 4, 4, 4, ... -6, -6, -6, -6, ... The sequences below are arithmetic.Match each sequence with its common difference. 5, 8, 11, 14, ... d = 3 -17, -12, -7, -2, ... d = 5 -8, -11, -14, -17, ... d = -3 The sequences below are geometric. Match each sequence with its common ratio. 2, 6, 18, 54, ... r = 3 1, -5, 25, -125, ... r = -5 -3, -12, -48, -192, ... r = 4