The first term in a sequence is x.each subsequent term is 3 less than twice the preceeding term.what is fifth term of the sequence

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MercedezSteinbrecher MercedezSteinbrecher

23-07-2015
Mathematics

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The first term in a sequence is x.each subsequent term is 3 less than twice the preceeding term.what is fifth term of the sequence

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naǫ naǫ · Answer 1 · 2015-07-24T16:55:14+02:00

naǫ naǫ

24-07-2015

[tex] \left \{ {{a_1=x} \atop {a_{n}=2a_{n-1}-3}} \right. \\ \\ a_2=2a_1-3=2x-3 \\ a_3=2a_2-3=2(2x-3)-3=4x-6-3=4x-9 \\ a_4=2a_3-3=2(4x-9)-3=8x-18-3=8x-21 \\ a_5=2a_4-3=2(8x-21)-3=16x-42-3=16x-45 \\ \\ \boxed{a_5=16x-45}[/tex]

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