The expected money deposited in Clarie's account in next 12 months is listed below:
- 300 (Initial value)
- 150
- 75
- 37.50
- 18.75
- 9.38
- 4.69
- 2.34
- 1.17
- 0.59
- 0.29
- 0.14
- 0.07
How to derive and graph a geometric sequence
First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:
[tex]c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)
Where:
- [tex]c_{o}[/tex] - Initial money deposited in Clarie's account.
- r - Decrease rate, in percentage.
- t - Number of periods, in months.
If we know that [tex]c_{o} = 300[/tex] and r = - 50, then the money left for each month is shown in the image attached below.
Remark
The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.
To learn more on geometric series: https://brainly.com/question/4617980
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