Arithmetic & Geometric Sequences

Master arithmetic and geometric sequences! Practice identifying patterns, ratios, and differences.

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 Geometric Sequences. Arithmetic 2, 8, 14, 20,... 90, 80, 70, 60,... -1, -5, -9, -13,... Geometric 1, 5, 25, 125, ... 1000, 500, 250,... 1, -3, 9, -27,... 1.5, 3.0, 6.0, 12.0, ... 2, -4, 8, -16 Identify the common difference and find the 10th term for the following sequences by using your Arithmetic sequence formula.1) 5, 8, 11, 14,....2) 10, 9, 8, 7,...3) -10, -5, 0, 5,... Identify the common ratio and find the 10th term of the following sequences using your formula for Geometric sequences.1) 2, 14, 98, 686,....2) -3, 3, -3, 3,......3) 800, 200, 50, 12.5,.... What is the 8th term in the following sequence? Show every step in your solution.0.3, 0.6, 0.9, 1.2, ...