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| 1) Define a geometric sequence.
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| 2) Find the next three terms in the following geometric sequence.
1, –2, 4, –8, …
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| 3) Find the next three terms in the following geometric sequence.
8, 20, 50, …
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| 4) Find the first five terms of the geometric sequence for which:
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| 5) Find the first five terms of the geometric sequence for which a1 = 10 and r = –1.
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| 8) Fill in the table for the geometric sequence represented by f (n) = –3 × 2n – 1.
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| 9) Use the table to write an explicit formula for the geometric sequence.
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| 10) Given the function f (n) = 85 × (2/3) n –1, state a1 and r.
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| 11) Write the explicit formula for the sequence: 200, 100, 50, 25.
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| 12) Using the graph, write the explicit formula for the geometric sequence. Click here to view the graph. (Hint, use points from the graph to make a table.)
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Arithmetic or Geometric?
Tell whether the following are arithmetic sequences, geometric sequences or neither.
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| 16) Explain how to write the function for a geometric sequence given a table of values.
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| 17) Use the table below and determine if it is an arithmetic or geometric sequence. Then, write an explicit formula for finding any term in the sequence.
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Word Problems on Geometric Sequences and Series
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| 18) Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?
Hint: 0.01(2)19
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| 19) Consider the following scatterplot. Does it show a linear, quadratic, or exponential function?
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| 20) Given the 2 quadratic functions below (one in graph form and one in equation form), tell which equation has the larger maximum. Explain how you know.
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| 21) Consider the function from #20, f (x) = –1/2(x – 1) 2 + 2. Give the x-intercepts and y-intercepts for this function. |
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| 22) Describe the transformation from the parent function f (x) = x2 that results in g(x) = –1/2(x – 1)2 + 2.
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| 23) Find the inverse of f (x) = x2 + 2x + 1.
Hint: Replace x with y and solve the equation for y. y2 + 2y + 1 = x
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| 24) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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