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If $a_{1}=5$ and $a_{n}=a_{n-1}-4$ then find the value of $a_{6}$.

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Final Answer: The value of $a_{6}$ is $\boxed{-15}$.

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Step 1 ：Given that the first term of the sequence, $a_{1}$, is 5 and the common difference, $d$, is -4, we can find the sixth term of the sequence, $a_{6}$, using the formula for the nth term of an arithmetic sequence: $a_n = a_1 + (n - 1) * d$.

Step 2 ：Substitute the given values into the formula: $a_6 = 5 + (6 - 1) * -4$.

Step 3 ：Simplify the expression to find the value of $a_{6}$: $a_6 = 5 - 20 = -15$.

Step 4 ：Final Answer: The value of $a_{6}$ is $\boxed{-15}$.

Watch help videoIf $a_{1}=5$ and $a_{n}=a_{n-1}-4$ then find the value of $a_{6}$.

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Watch help video
If $a_{1}=5$ and $a_{n}=a_{n-1}-4$ then find the value of $a_{6}$.