P.O.D.Find the 1st 4 terms of the sequence:

tn = ½(n – 7)*Plug in n = 1

through 4

11.1 & 11.2Arithmetic Sequences (Patterns)

SequenceAn ordered

list of numbers

Arithmetic SequenceWhere the difference

between any 2 successive terms is a constant d (“The common

difference”)

Formula for Arithmetic

SequenceThe nth term in an arithmetic sequence is the given formula:tn = t1 + (n – 1)d

(*t1 = 1st term in sequence*n = # of term you are trying to find

*d = common difference

Ex: Find t11 for the arithmetic sequence 7, 11, 15, 19, …

Steps:1st) Find d “Common Difference” 11 – 7 = 4 is common diff.2nd) Plug in t1, n & d into the formula & solvet11 = 7 + (11 – 1 )4 = 47*t1= 7 (1st term in sequence)*n = 11 (# of term you are trying to find)*d = 4 (the common difference between terms)

Ex: Find the position of the term in red of the arithmetic seq.5, 8, 11, 14,…53, …

Ex: Find t20 for the arithmetic sequence in which t2 = 13 and t5 = 22*Look at pg. 508 Example 3 in book

Your HW is:Pg. 509 (1-22 all, 31-2)