Write a formula for the $n$th term of the arithmetic sequence $5,0,-5,-10,-15, \ldots$

The formula for the $n$th term of the sequence is $a_{n}=\square$.

Answer

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Answer

Simplify the formula to get the final answer: $\boxed{a_{n} = 5 - 5(n-1)}$

Steps

Step 1 ：Identify the common difference between the terms of the arithmetic sequence, which is $-5$

Step 2 ：Determine the first term of the sequence, which is $5$

Step 3 ：Use the formula for the $n$th term of an arithmetic sequence: $a_{n} = a_{1} + (n-1)d$, where $a_{1}$ is the first term and $d$ is the common difference

Step 4 ：Substitute the values of $a_{1}$ and $d$ into the formula: $a_{n} = 5 + (n-1)(-5)$

Step 5 ：Simplify the formula to get the final answer: $\boxed{a_{n} = 5 - 5(n-1)}$

Write a formula for the $n$th term of the arithmetic sequence $5,0,-5,-10,-15, \ldots$ The formula for the $n$th term of the sequence is $a_{n}=\square$.

Answer

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Write a formula for the $n$th term of the arithmetic sequence $5,0,-5,-10,-15, \ldots$

The formula for the $n$th term of the sequence is $a_{n}=\square$.