Question: a. Define an arithmetic sequence and an arithmetic series. Provide a clear example of each. b. Define a geometric sequence and a geometric series. Provide

a. Define an arithmetic sequence and an arithmetic series. Provide a clear example of each. b. Define a geometric sequence and a geometric series. Provide a clear example of each. c. Compare and contrast arithmetic and geometric sequences and series in terms of their patterns, formulas for the n-th term, and sum formulas. Discuss the key differences and similarities between the two. Your answer should include definitions, examples, and a comparative analysis.

a. Define an arithmetic sequence and an arithmetic series. Provide a clear example of each. b. Define a geometric sequence and a geometric series. Provide a clear example of each. c. Compare and contrast arithmetic and geometric sequences and series in terms of their patterns, formulas for the n-th term, and sum formulas. Discuss the key differences and similarities between the two. Your answer should include definitions, examples, and a comparative analysis

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