Find an explicit formula for the arithmetic sequence -11,-3,5,13,dots. Note: the first term should be b(1). b(n)=◻

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Find an explicit formula for the arithmetic sequence  -11,-3,5,13,dots. Note: the first term should be  b(1).  b(n)=◻

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Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. The sequence -11, -3, 5, 13, ... has a common difference between consecutive terms, so it is an arithmetic sequence. Find Common Difference: Determine the common difference (d) of the sequence by subtracting any term from the term that follows it. For example, the difference between the second term (-3) and the first term (-11) is -3 - (-11) = 8.Use Explicit Formula: Use the explicit formula for an arithmetic sequence, b(n) = b(1) + (n-1)d, where b(1) is the first term and d is the common difference. For this sequence, the first term, b(1), is -11 and the common difference, d, is 8.Substitute Values: Substitute the values of b(1) and d into the formula to write an expression to describe the sequence. The expression for the sequence -11, -3, 5, 13, ... is b(n) = -11 + (n-1) × 8.Simplify Expression: Simplify the expression by distributing the 8 into the parentheses: b(n) = -11 + 8n - 8.Combine Like Terms: Combine like terms to get the final explicit formula for the sequence: b(n) = 8n - 19.

Find an explicit formula for the arithmetic sequence $\newline$ $-11,-3,5,13, \ldots \text {. }$ $\newline$ Note: the first term should be $b(1)$ . $\newline$ $b(n)=\square$

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Find an explicit formula for the arithmetic sequence\newline−11,−3,5,13,…. -11,-3,5,13, \ldots \text {. } −11,−3,5,13,…. \newlineNote: the first term should be b(1) b(1) b(1).\newlineb(n)=□ b(n)=\square b(n)=□

Find an explicit formula for the arithmetic sequence $\newline$ $-11,-3,5,13, \ldots \text {. }$ $\newline$ Note: the first term should be $b(1)$ . $\newline$ $b(n)=\square$