Patterns and Sequences Sequence: Numbers in a specific order that form a pattern are called a sequence. An example is 2, 4, 6, 8, 10 and 12. Polygon: Any figure that is formed by three or more points joined by line segments that are closed.

Practice Find the next three terms in each sequence 1.) 6, 10, 14, 18… Answer: Add 4 to each previous number to get the next term, so the next three terms in the sequence are 22, 26, 30 2.) 1, 1, 2, 3, 5, 8, 13, 21… Answer: Add the two previous numbers to get the next term, so the next three terms are 34, 55, 89

Practice cont. Find the next three terms in each sequence 3.) 7, 13, 19, 25… Answer: add 6 to each previous number to get the next term, so the next three terms are 31, 37, 43 4.) 243, 81, 27, 9… Answer: divide each previous number by 3 to get the next term, so the next three terms are 3, 1, 1/3

If x represents the counting numbers 1, 2, 3, 4…then the algebraic expression 2x +1 represents the terms of a sequence. Write the first five terms. 1 st term 2(1) + 1 = = 3 2 nd term 2(2) + 1 = = 5 3 rd term 2(3) + 1 = = 7 4 th term 2(4) + 1 = = 9 5 th term 2(5) + 1 = = 11 Therefore, the first five terms are 3, 5, 7, 9,11