https://padlet.com/cadenydaniels/9tr9iamvs9t9 Sections 12.5, 12.6, 12.7, 12.9 en-us 2019-04-15 17:21:39 UTC 2026-02-14 21:36:43 UTC hello@padlet.com cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740200 This is a proof for two different types of problems. For both problems, there are three different steps that need to be completed. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740200 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740201 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740201 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740202 Series proof.
Divisibility proof.
Use 3 steps of induction.
Show n=1 works.
Assume n=k works.
Show n=k+1 works.]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740202 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740203 Add K+1 to both sides not just one. 
Also distribute the numbers to both numbers or it will come out wrong. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740203 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740204 None. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740204 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740205 There are special series such as the set of Fibonacci numbers.
This brings us the golden ratio which shows in nature a lot. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740205 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740206 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740206 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740207 It tells us to write cos(pi) and find the first 5 terms. We can use the equations that they gave us to find it. Also there are problems on the negative Ln.]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740207 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740209 On e^x problems, don't round along the way.]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740209 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740210 If you click math, then prb, then 4, it will get to factorial. This is very useful during these equations. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740210 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740211 Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740211 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740213 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740213 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740215 Expand a binomial statement to the 5th term. 
What is the 4th term of (3x+3^6)^7]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740215 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740217 Make sure to distribute all the numbers.
Do not forget about any exponents.
Exponents add when multiplied. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740217 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740219 There are no tips besides knowing how to use exponents. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740219 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740220 Notation for finding the Sum
The number of terms is on the top.
the N term is on the bottom.
The formula is on the right. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740220 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740221 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740221 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740222 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.]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740222 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740223 Assuming that the top number is how many terms you will write. ]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740223 cadenydaniels https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740224 Get sigma on calculator for finite sums: Math button, then press Zero]]> 2019-04-15 17:21:39 UTC https://padlet.com/cadenydaniels/9tr9iamvs9t9/wish/351740224