Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

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14-05-2018
Mathematics

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Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

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LammettHash LammettHash · Answer 1 · 2018-05-15T21:50:29+02:00

LammettHash LammettHash

15-05-2018

[tex]a_1=3[/tex]
[tex]a_2=-4a_1[/tex]
[tex]a_3=-4a_2=(-4)^2a_1[/tex]
[tex]\cdots[/tex]
[tex]a_6=-4a_5=\cdots=(-4)^5a_1[/tex]

[tex]\implies a_6=(-4)^5\cdot3=-3072[/tex]

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