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Lola already has 6 pennies, and she plans to save more. In her first week

of saving pennies, she will save twice the number of pennies that she

already has. Each week after, she will save twice the number of pennies

as the previous week.

Which equation can be used to determine the number of pennies, P, Lola

will save during week w of saving pennies?

Respuesta :

JeanaShupp

Answer: [tex]P=6(2)^{w-1}[/tex]

Step-by-step explanation:

Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.

In geometric progression, nth term  = [tex]ar^{n-1}[/tex]

Substitute  r= 2 , a= 6 and n=w, we get

wth term = [tex]6(2)^{w-1}[/tex]

The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:

[tex]P=6(2)^{w-1}[/tex]

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