Jimmy has a new job and plans to start saving some money. he decides to use his knowledge of geometric series to set up a savings plan that will start off with him setting aside a small amount each week, and end with him saving a large amount. in each of the first 5 weeks of his job, he wants to raise $2 to the number of weeks he has been working, multiply it by 3, and add that amount to the savings account. use summation notation to write this as a sum and find the total amount jimmy will save in 5 weeks.

Respuesta :

The equation that represents the amount saved is T(n) = 3 * (2^n), and the total amount saved in 5 weeks is $186

How to determine the sum of total amount?

The statement is given as:

raise $2 to the number of weeks he has been working, multiply it by 3,

Let the number of weeks be n.

So, we have:

T(n) = 3 * (2^n)

For week 1 to 5, we have:

T(1) = 3 * (2^1) = 6

T(2) = 3 * (2^2) = 12

T(3) = 3 * (2^3) = 24

T(4) = 3 * (2^4) = 48

T(4) = 3 * (2^5) = 96

The sum is then calculated as:

Sum = 6 + 12 + 24 + 48 + 96

Evaluate the sum

Sum = 186

Hence, the total amount saved in 5 weeks is $186

Read more about geometric series at:

https://brainly.com/question/24643676

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