VeneciaO736422 VeneciaO736422

31-10-2022
Mathematics

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The first term of a geometric sequence is 6. The common ratio is 2. Find the7th term of the sequence using the explicit formula.

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BrittanyZ271185 BrittanyZ271185

31-10-2022

The geometric sequence is given by:

[tex]a_n=a\cdot r^{n-1}[/tex]

where:

a = first term of the sequence

r = common ratio

so:

[tex]\begin{gathered} n=7 \\ a_7=6\cdot2^{7-1} \\ a_7=6\cdot2^6 \\ a_7=6\cdot64 \\ a_7=384 \end{gathered}[/tex]

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