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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 $- 15$ .

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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 $- 15$ .

Watch help videoIf a1=5 and an=an−1−4 then find the value of a6.

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