GEOMETRIC SEQUENCES
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Unit Overview
An important mathematical skill is discovering patterns. In this unit, you will investigate different types of patterns represented in geometric sequences. You will also discern the difference between an arithmetic sequence and a geometric sequence.
Geometric Sequences Watch this video:
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Click on the link to watch the video "Geometric sequence or progression" or click on the video.
Stop! Go to Questions #1-7 about this section, then return to continue on to the next section.
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| To make sure you can use this function properly,
"Click here" to check the answer.
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Try this! Using the function just found, find the 6th term of the geometric sequence.
Arithmetic or Geometric? In the last unit, you learned about arithmetic sequences. In this unit, you have learned about geometric sequences. If it is not specified, how do you know which type of sequence it is? How do you know which rule to use to create the explicit formula? Remember that arithmetic sequences had a common difference. A number that you added or subtracted to find the next term. In a geometric sequence, you multiply by a common ratio to find the next term. When given problems that aren't specified, you must discern if you have a common difference or a common ratio. For the next 4 problems, identify each sequence as arithmetic, geometric, or neither. If the sequence is arithmetic state the common difference. If the sequence is geometric, state the common ratio. |
Geometric, r = –1 "Click here" to check the answer.
Neither, the same number is neither added nor multiplied each time to get the next term. "Click here" to check the answer.
Arithmetic, d = 25 "Click here" to check the answer.
Geometric, r = ½ or 0.5 "Click here" to check the answer.
Stop! Go to Questions #13-17 about this section, then return to continue on to the next section. |
