If \( a_{1}=3 \) and \( a_{n}=-3 a_{n-1}+2 \) then find the value of \( a_{5} \).
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Answer
\( a_5 = -3a_4 + 2 \)
Steps
Step 1 ：\( a_2 = -3a_1 + 2 = -3(3) + 2 \)
Step 2 ：\( a_3 = -3a_2 + 2 \)
Step 3 ：\( a_4 = -3a_3 + 2 \)
Step 4 ：\( a_5 = -3a_4 + 2 \)
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