Here are the essential concepts you must grasp in order to answer the question correctly.
Arithmetic Sequence
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is known as the common difference (d). The general form of an arithmetic sequence can be expressed as a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and n is the term number.
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First Term and Common Difference
In an arithmetic sequence, the first term (a_1) is the initial value from which the sequence starts. The common difference (d) is the fixed amount added to each term to get to the next term. For example, if a_1 = 35 and d = -3, each subsequent term is obtained by subtracting 3 from the previous term.
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Finding a Specific Term
To find a specific term in an arithmetic sequence, such as a_60, you can use the formula a_n = a_1 + (n - 1)d. By substituting the values of a_1, d, and n into this formula, you can calculate the desired term. In this case, substituting a_1 = 35, d = -3, and n = 60 will yield the value of a_60.
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