In this section, we will review sequences that grow in this way. When a salary increases by a constant rate each year, the salary grows by a constant factor. His salary will be $26,520 after one year $27,050.40 after two years $27,591.41 after three years and so on. His annual salary in any given year can be found by multiplying his salary from the previous year by 102%. He is promised a 2% cost of living increase each year. Suppose, for example, a recent college graduate finds a position as a sales manager earning an annual salary of $26,000. Many jobs offer an annual cost-of-living increase to keep salaries consistent with inflation. Use an explicit formula for a geometric sequence.Use a recursive formula for a geometric sequence.List the terms of a geometric sequence.Find the common ratio for a geometric sequence.Our product offerings include millions of PowerPoint templates, diagrams, animated 3D characters and more. is brought to you by CrystalGraphics, the award-winning developer and market-leading publisher of rich-media enhancement products for presentations. Then you can share it with your target audience as well as ’s millions of monthly visitors. We’ll convert it to an HTML5 slideshow that includes all the media types you’ve already added: audio, video, music, pictures, animations and transition effects. You might even have a presentation you’d like to share with others. And, best of all, it is completely free and easy to use. Whatever your area of interest, here you’ll be able to find and view presentations you’ll love and possibly download. It has millions of presentations already uploaded and available with 1,000s more being uploaded by its users every day. is a leading presentation sharing website. How many teams compete in round 5?įind the missing term(s) in each geometric Numbers of teams in each round form a geometric Until all but one team have been eliminated. Fewer teams remain inĮach following round, as shown in the graph, What is the 10th termĦ) What is the 11th term of the geometricħ) In the NCAA mens basketball tournament, 64 How much will the car beĥ) The first term of a geometric sequence is 1,Īnd the common ratio is 10. The height of the 5th bounce is 5.12 feet.ģ) The table shows a cars value for 3 years Substitute 200 for a1, 5 for n, and 0.4 for r. Shows the bungee jumpers height above the groundĪt the top of each bounce. Substitute 8 for a1, 13 for n, and -2 for r.Ģ) What is the 8th term of the sequence 1000,Ī bungee jumper jumps from a bridge. Step2 Plug the value of r in the following Substitute 8 for a1, 5 for n, and 3 for r.Ĭ) What is the 13th term of the geometric Substitute 128 for a1, 10 for n, and 0.5 for r.ī) For a geometric sequence, a 1 8 and r 3. , the nth term is a n, and the common ratio isįinding the nth Term of a Geometric SequenceĪ) The first term of a geometric sequence is 128,Īnd the common ratio is 0.5. If the first term of a geometric sequence is a 1 Nth term, multiply the first term by the common The pattern in the table shows that to get the When n is a large number, you need an equation, To find the output an of a geometric sequence Term itself is the output of the function. Sequence, is the input of the function, and the Step2 Multiply each term by -1 to find theįunctions. The next three terms are 81, 243, and 729. Step2 Multiply each term by 3 to find the next Step1 Find the value of r by dividing each Sequence, the ratio of successive terms is theįind the next three terms in each geometric The height of the bounces shown in the tableĪbove form a geometric sequence. Shows the heights of a bungee jumpers bounces. 1) The graph of f (x) x2 - 3 translated 7 unitsīungee jumpers can use geometric sequences toĬalculate how high they will bounce.
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