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A real-life example of an arithmetic sequence can be found in saving money regularly. For instance, if you save $100 each month, your total savings can be modeled as an arithmetic sequence where the first term ( a_1 ) is $100, and the common difference ( d ) is also $100. The total savings after ( n ) months can be calculated using the formula for the ( n )-th term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ). For 6 months, your total savings would be ( a_6 = 100 + (6-1) \times 100 = 100 + 500 = 600 ) dollars.

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