Find an explicit formula for the arithmetic sequence 37,74,111,148,dots Note: the first term should be a(1). a(n)=

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Find an explicit formula for the arithmetic sequence  37,74,111,148,dots Note: the first term should be  a(1).  a(n)=

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Identify Type of Sequence: Identify whether the given sequence is geometric or arithmetic. The sequence 37, 74, 111, 148, ... has a common difference between consecutive terms, so it is an arithmetic sequence.Find First Term and Common Difference: Determine the first term (a1) and the common difference (d) of the sequence. The first term a1 is 37. To find the common difference, subtract the first term from the second term: d = 74 - 37 = 37.Apply Explicit Formula: Use the explicit formula for an arithmetic sequence, an = a1 + (n-1)d, where a1 is the first term and d is the common difference. Substitute the values of a1 and d into the formula. The expression for the sequence is an = 37 + (n-1) × 37.Simplify Expression: Simplify the expression by distributing the 37 inside the parentheses. an = 37 + 37n - 37. Combine like terms to get the final expression.Final Explicit Formula: After combining like terms, the final expression is an = 37n. This is the explicit formula for the given arithmetic sequence.

Find an explicit formula for the arithmetic sequence $\newline$ $37,74,111,148, \ldots$ $\newline$ Note: the first term should be $a(1)$ . $\newline$ a(n) = \(\square\)

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Find an explicit formula for the arithmetic sequence\newline37,74,111,148,… 37,74,111,148, \ldots 37,74,111,148,…\newlineNote: the first term should be a(1) a(1) a(1).\newline a(n) = \(\square\)

Find an explicit formula for the arithmetic sequence $\newline$ $37,74,111,148, \ldots$ $\newline$ Note: the first term should be $a(1)$ . $\newline$ a(n) = \(\square\)