Complete the recursive formula of the arithmetic sequence 14,30,46,62,dots". " {:[d(1)=◻],[d(n)=d(n-1)+]:}

Calculate Common Difference: To find the recursive formula for the arithmetic sequence, we first need to determine the common difference between consecutive terms. We can do this by subtracting the first term from the second term. Calculation: 30 - 14 = 16Write Recursive Formula: The common difference is 16. This means that each term is 16 more than the previous term. We can now write the recursive formula using this common difference. The recursive formula will have two parts: the first term and the rule for finding any term after the first. The first term, d(1), is given as 14. The rule for finding any term after the first is to add the common difference to the previous term, which can be written as d(n) = d(n-1) + 16.

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Complete the recursive formula of the arithmetic sequence

14,30,46,62,dots". "

{:[d(1)=◻],[d(n)=d(n-1)+]:}

Complete the recursive formula of the arithmetic sequence $\newline$ $14,30,46,62, \ldots \text {.. }$ $\newline$ $\begin{array}{l} d(1) = \square \\ d(n) = d(n-1)+\square\\ \end{array}$

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Algebra 2

Write a formula for an arithmetic sequence

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Q. Complete the recursive formula of the arithmetic sequence

\newline

14,30,46,62, \ldots \text {.. }

\newline

\begin{array}{l} d(1) = \square \\ d(n) = d(n-1)+\square\\ \end{array}

Calculate Common Difference: To find the recursive formula for the arithmetic sequence, we first need to determine the common difference between consecutive terms. We can do this by subtracting the first term from the second term. $\newline$ Calculation: $30 - 14 = 16$
Write Recursive Formula: The common difference is $16$ . This means that each term is $16$ more than the previous term. We can now write the recursive formula using this common difference. $\newline$ The recursive formula will have two parts: the first term and the rule for finding any term after the first. $\newline$ The first term, $d(1)$ , is given as $14$ . $\newline$ The rule for finding any term after the first is to add the common difference to the previous term, which can be written as $d(n) = d(n-1) + 16$ .