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Example Question #11 : Arithmetic Sequences
An arithmetic sequence begins as follows:
Give the thirteenth term of the sequence as a fraction in lowest terms.
Possible Answers:
Correct answer:
Explanation:
Subtract the first term from the second term to get the common difference :
Setting and ,
The th term of an arithmetic sequence can be found by way of the formula
Setting , , and in the formula:
As a fraction, this is
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