One thing that I learned this week in Pre Calc 11 is how to calculate the sum of the terms in a Geometric Series. A Geometric Series is when you find the sum of the terms in a Geometric Sequence. To find the sum, you must find the first term, the common ratio and the number of terms in the series. For instance, if this was my Geometric Series: than I would use the equation to figure out the sum. To input the numbers needed into the equation, I would replace with because there are 4 terms in the series. I would also replace with because that is the first term in the series. Since represents the common ratio I would replace it with and reprsents the value of the fourth term I would input it as . From there I will be able to determine the sum of all 4 terms in this Geometric Series.
This week I also learned that I can enter an entire equation into my calculator and it is able to solve it completely, which means that after I have inputed the numbers into the equation, the calculator is able to find the answer, which takes less steps and time to solve the equation.
I have included an example below that shows the steps I would take in further detail and the equations I would use to find the sum of the terms in a Geometric Series.