advertisement

Arithmetic & Geometric Sequences Name ____________________________________ Find the next three terms in each sequence. Then, identify the rule and write whether each sequence is arithmetic or geometric. Sequence Rule Arithmetic or Geometric 2, 8, 14, 20, _____, _____, _____ _________________ __________________________ 1, 5, 25, 125, _____, _____, _____ _________________ __________________________ 1000, 500, 250, _____, _____, _____ _________________ __________________________ 90, 80, 70, 60, _____, _____, _____ _________________ __________________________ 1, -3, 9, -27, _____, _____, _____ _________________ __________________________ 1.5, 3.0, 6.0, 12.0, _____, _____, _____ _________________ __________________________ -1, -5, -9, -13, _____, _____, _____ _________________ __________________________ 2, -4, 8, -16, _____, _____, _____ _________________ __________________________ Identify the common difference in the following sequences: 5, 8, 11, 14, … common difference is _____ 10, 9, 8, 7, … common difference is _____ -10, -5, 0, 5, … common difference is _____ Identify the common ratio in the following sequences: 2, 14, 98, 686, … common ratio is _____ -3, 3, -3, 3, … common ratio is _____ 800, 200, 50, 12.5, … common ratio is _____ Matching: Write the letter of the correct definition next to each vocabulary word. _____ Sequence A) the fixed number added to the previous term in an arithmetic sequence _____ Term B) a sequence found by multiplying the previous term by a fixed number _____ Arithmetic Sequence C) the fixed number multiplied to the previous term in a geometric sequence _____ Geometric Sequence D) a set of numbers that follows a pattern _____ Common Difference E) a sequence found by adding a fixed number to the previous term _____ Common Ratio F) each number in a sequence Bonus! What is the 8th term in the following sequence? _____ 0.3 0.6 0.9 1.2 …