[tex]a_n = 4 \times a_{n-1}[/tex]
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First Term :
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[tex]a_0 = -6 \text { (Given)}[/tex]
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Second Term:
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[tex]a_2 = 4 \times a_1[/tex]
[tex]a_2 = 4 \times (-6)[/tex]
[tex]a_2 = -24[/tex]
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Third Term:
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[tex]a_3 = 4 \times a_2[/tex]
[tex]a_3 = 4 \times (-24)[/tex]
[tex]a_3 = -96[/tex]
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Fourth Term:
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[tex]a_4 = 4 \times a_3[/tex]
[tex]a_4 = 4 \times (-96)[/tex]
[tex]a_4 = -384[/tex]
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Fifith Term:
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[tex]a_5 = 4 \times a_4[/tex]
[tex]a_5 = 4 \times (-384)[/tex]
[tex]a_5 = -1536[/tex]
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sixth Term:
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[tex]a_6 = 4 \times a_5[/tex]
[tex]a_6 = 4 \times (-1536)[/tex]
[tex]a_6 = -6144[/tex]
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Answer: -6, -24, -96, -384, -1536, -6144
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