9. If a_{1}=2 and a_{n}=a_{n-1}-4 then find the value of a_{4}.

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Accepted Answer

Step:1 ：The given sequence is a recursive sequence where each term is 4 less than the previous term.Step:2 ：We can find the value of (a_{4}) by applying the formula (a_{n}=a_{n-1}-4) three times starting from (a_{1}=2).Step:3 ：(a_{4} = a_{3} - 4)Step:4 ：(a_{3} = a_{2} - 4)Step:5 ：(a_{2} = a_{1} - 4)Step:6 ：Substituting (a_{1} = 2) into (a_{2} = a_{1} - 4), we get (a_{2} = 2 - 4 = -2)Step:7 ：Substituting (a_{2} = -2) into (a_{3} = a_{2} - 4), we get (a_{3} = -2 - 4 = -6)Step:8 ：Substituting (a_{3} = -6) into (a_{4} = a_{3} - 4), we get (a_{4} = -6 - 4 = -10)Step:9 ：Final Answer: The value of (a_{4}) is (boxed{-10})

Answer

Step: 1 ：The given sequence is a recursive sequence where each term is 4 less than the previous term.Step: 2 ：We can find the value of (a_{4}) by applying the formula (a_{n}=a_{n-1}-4) three times starting from (a_{1}=2).Step: 3 ：(a_{4} = a_{3} - 4)Step: 4 ：(a_{3} = a_{2} - 4)Step: 5 ：(a_{2} = a_{1} - 4)Step: 6 ：Substituting (a_{1} = 2) into (a_{2} = a_{1} - 4), we get (a_{2} = 2 - 4 = -2)Step: 7 ：Substituting (a_{2} = -2) into (a_{3} = a_{2} - 4), we get (a_{3} = -2 - 4 = -6)Step: 8 ：Substituting (a_{3} = -6) into (a_{4} = a_{3} - 4), we get (a_{4} = -6 - 4 = -10)Step: 9 ：Final Answer: The value of (a_{4}) is (boxed{-10})

9. If $a_{1} = 2$ and $a_{n} = a_{n - 1} - 4$ then find the value of $a_{4}$ .

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Popular Problems

9. If a1=2 and an=an−1−4 then find the value of a4.

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Popular Problems

9. If $a_{1} = 2$ and $a_{n} = a_{n - 1} - 4$ then find the value of $a_{4}$ .