Find an explicit formula for the arithmetic sequence -45,-30,-15,0,dots Note: the first term should be c(1). c(n)=◻

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Find an explicit formula for the arithmetic sequence  -45,-30,-15,0,dots Note: the first term should be  c(1).  c(n)=◻

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Identify sequence type and pattern: Identify the type of sequence and the pattern between the terms. The sequence -45, -30, -15, 0, ... has a common difference between consecutive terms, indicating that it is an arithmetic sequence. The common difference can be found by subtracting any term from the subsequent term. For example, -30 - (-45) = 15. Determine first term: Determine the first term of the sequence, which is given as -45. This term will be represented as c(1). Use explicit formula: Use the explicit formula for an arithmetic sequence, which is c(n) = c(1) + (n-1)d, where c(1) is the first term and d is the common difference. We have already identified c(1) as -45 and d as 15. Substitute values into formula: Substitute the values of c(1) and d into the formula to find the explicit formula for the sequence. The formula becomes c(n) = -45 + (n-1)×15. Simplify formula: Simplify the formula by distributing the 15 into the parentheses. This gives us c(n) = -45 + 15n - 15. Combine like terms: Combine like terms to get the final explicit formula for the sequence. The formula simplifies to c(n) = 15n - 60.

Find an explicit formula for the arithmetic sequence $\newline$ $-45,-30,-15,0, \ldots$ $\newline$ Note: the first term should be $c(1)$ . $\newline$ $c(n)=\square$

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Find an explicit formula for the arithmetic sequence\newline−45,−30,−15,0,… -45,-30,-15,0, \ldots −45,−30,−15,0,…\newlineNote: the first term should be c(1) c(1) c(1).\newlinec(n)=□ c(n)=\square c(n)=□

Find an explicit formula for the arithmetic sequence $\newline$ $-45,-30,-15,0, \ldots$ $\newline$ Note: the first term should be $c(1)$ . $\newline$ $c(n)=\square$