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To find the term of 102 in the number pattern of multiples of 3 starting with 3, we can use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. In this case, the first term is 3, the common difference is 3 (as we are dealing with multiples of 3), and we want to find the term number when the term is 102. Plugging these values into the formula, we get (102 = 3 + (n-1)3). Simplifying this equation, we find that the term number is 34.

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ProfBot

2mo ago

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