Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Chapter 11 Sequences and Series 11.1 Arithmetic Sequences Key Terms Sequence: an ordered list of numbers 1, 3, 5, 7, 9, …. Terms: the numbers in the sequence The 1st term in the sequence above is 1, 2nd is 3, 3rd is 5, etc Arithmetic Sequence: a sequence in which each terms after the 1st is found by adding a constant Common difference: the number added to each term in an arithmetic sequence Arithmetic sequence Formula: an = a1 + (n – 1)d an = specific term (nth term) a1 = 1st term in the sequence n = number of position for given term d = common difference Find the next four terms in the sequence. -6, -2, 2,…. 1.6, 1.1, 0.6, …. Write an equation for the nth term 10, 7, 4, 1, … Write an equation for the nth term 8, 17, 26, 35, … The table shows typical costs for a construction company to rent a crane for one, two, three, and four months. If the sequence continues, how much would it cost to rent the crane for a year? Months Cost ($) 1 75,000 2 90,000 3 105,000 4 120,000 The construction company has a budget of $350,000 for crane rental. The job is expected to last 18 months. Will the company be able to afford the crane rental for the entire job? Explain. Find the first 5 terms for the sequence described a1 = 2 d = 13 Find the indicated term for the sequence a1 = 20, d = 4, n = 81 Arithmetic Means The terms between any two nonsuccessive terms in an arithmetic sequence Use the formula to find the common difference Then use the common difference to calculate the arithmetic means Find the arithmetic means between the given terms 16,__, __, __, __, 91, … 15.6, __, __, __, 60.4, ...