https://padlet.com/luth_maddie/6h7amcdsz2ix Sections 12.5, 12.6, 12.7, 12.9 en-us 2019-04-16 15:12:20 UTC 2024-10-05 06:35:07 UTC hello@padlet.com luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004903 proving validity of statements
divisibility definition p=qr
used for both series and divisibility statements]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004903 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004904 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004904 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004905 Series proof.
Divisibility proof.
Use 3 steps of induction.
Show n=1 works.
Assume n=k works.
Show n=k+1 works.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004905 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004906 when solving n=k+1 remember to put parenthesis
don't forget to add the second term to both sides of the statement
remember to write what t equals; t always equals and integer]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004906 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004907 don't forget to put parenthesis when necessary
most calculating does not require a calculator]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004907 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004910 Approximate e^x, trigonometric values, and logarithms using series 
Euler's Formula 
Natural log of a (-) number to a complex number
Fibonacci Series

]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004910 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004911 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004911 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004912 Approximate e^x by using the first three terms of an exponential series. 
1) Plug in the value of x for all n 
2) add the first three terms together (do not round until the final solution) ]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004912 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004913 On e^x problems, don't round along the way.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004913 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004914 Make sure to use parentheses properly ]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004914 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004916 Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004916 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004917 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004917 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004918 Expand a binomial 
1) Use Pascal's Triangle, using the number of terms in the binomial to identify which row in the triangle to use
2) Plug in the values found in the corresponding row
3) Simplify if possible ]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004918 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004919 Check which row is being used for the corresponding binomial.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004919 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004921 put parenthesis around terms when necessary
put exponents outside of parenthesis if necessary
use the ! button by going to "math" then "prob" then press #4]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004921 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004923 Writing a series in Sigma Notation
Expanding terms to find the sum
Using Sigma Notation]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004923 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004924 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004924 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004925 Expand a series from sigma notation (plug in the first n value to the formula and keep increasing by 1).
Find a finite sum using calculator.
Find an infinite sum using formula  S=a1/(1-r)
Go from a series to the sigma notation.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004925 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004926 Remember that the bottom number is the term that is started with, not the number that is started with.]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004926 luth_maddie https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004927 Get sigma on calculator for finite sums: Math button, then press Zero]]> 2019-04-16 15:12:20 UTC https://padlet.com/luth_maddie/6h7amcdsz2ix/wish/352004927