# burtonpcalc11

## Pre-Calc 11 Week #2

This week I learned about finite geometric series and how to find the general term ($t_n$) along with how to find the sum of whatever the term number is.

To find $t_n$, you need $t_1$ and the common ratio

In this example I’m looking for $t_{13}$ with a $t_1$ of 5 and a common ratio of 2

And in this next example I show how to find $S_{13}$ with the same numbers.

## Pre-Calc 11 Week #1

This week in Pre-Calc 11 we learned how to use the patterns in arithmetic sequences and series to find a number later in the series/sequence.

Basically if $t_1$ is 4 and $t_2$ is 8 we can tell the common difference is +4 using the common difference we can find any number after.

In this example I’ll show how to get $t_{35}$ using the information found

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