A sequence is generated by an=3(2)n -1. what is the value of it's fifth term

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25-10-2022
Mathematics

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A sequence is generated by an=3(2)n -1. what is the value of it's fifth term

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SeveroV671445 SeveroV671445 · Answer 1 · 2022-10-25T20:23:49+02:00

SeveroV671445 SeveroV671445

25-10-2022

[tex]\begin{gathered} a_n=3(2)n-1 \\ \text{hence, for n=1 one has} \\ a_1=3(2)(1)-1 \\ a_1=6-1 \\ a_1=5 \\ \text{Now, in the same manner, when n=5, one has} \\ a_5=3(2)(5)-1 \\ a_5=30-1 \\ a_5=29 \end{gathered}[/tex]

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