Respuesta :
Answer:
She should go with deal 1 is greater than by $3.75.
Explanation:
The computation is shown below:
As in the first deal we have shown in a geometric sequence
We can represent Deal 1 as a geometric sequence:
[tex]g_n=0.25(2)^{n-1}[/tex]
where,
The 0.25 = first term,
2 = common ratio (as it doubles every day)
and n = the term number.
Now for determining the total money amount, first we have to calculate the sum
i.e
[tex]\Sigma_{n=1}^7(0.25)(2)^{n-1}[/tex]
After solving this,
we get 31.75.
Now for Deal 2
It could be shown as
4(7) = 28.
So as we can see that the deal 1 is greater than Deal 2