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gizmo_the_mogwai [7]
2 years ago
8

These are the first six terms of a sequence starting with a1 = 80:

Mathematics
1 answer:
Nikitich [7]2 years ago
6 0

Answer:

a _{n}  = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} =  \frac{80. {2}^{n} }{ {2}^{ 1} }  \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3}  \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )

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The total amount of money Ethan made in a week including commission is $812.5

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