A worker is paid $0.03 on the first day, $0.06 on the second day, $0.12 on the third day, $0.24 on the fourth day, and so on. How much money (rounded to the nearest cent) in total does the worker earn after working 24 days? Hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio.

Respuesta :

The first term a1=$0.03
The common ratio  r = a2 : a1 = $0.06 : $0.03 = 2

[tex]S_n = \frac{a_1(1 - r^n)}{1 - r} \\ \\ S_{24}= \frac{0.03(1 - 2^{24})}{1 - 2} =-0.03(1 - 16777216) =503316.45[/tex]

The worker earns after working 24 days  $503 316.45

Answer:

$503 316.45

Step-by-step explanation:

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