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A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. Each night the number of magic pennies doubles. How much money will the girl have after 25 nights?Question content area bottomHow much money will the girl have after 25 nights?

Respuesta :

The given sequence are:

2, 4, 8, 16...

Here, first term(a) = 2, common ratio(r) = 2 and we find the 25th term.

Therefore, we know that the sequence formula is:

[tex]a_r=ar^{n-1}[/tex]

Then, for the 25th term:

[tex]a_{25}=2\times2^{25-1}=2\times2^{24}=33554432[/tex]

Total money in dollars:

[tex]33554432\times0.01=335544.32[/tex]

Answer: the girl will have $335544.32

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