Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,…to find the following:
a) What is d, the difference between any 2 terms?
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b) Using the formula for the nth term of an arithmetic sequence, what is 101st term?
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c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
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d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
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e) What observation can you make about these sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
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2007-03-11
13:19:41
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3 answers
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