https://padlet.com/j_baseball_schell/wytb53vh60t5 Sections 12.5, 12.6, 12.7, 12.9 en-us 2019-04-16 16:55:57 UTC 2023-07-23 11:16:26 UTC hello@padlet.com j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045496 using proofs to prove a mathematical expression to be true for all integers]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045496 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045497 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045497 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045498 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 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045498 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045499 make sure when distributing, to change the power to n+1 and no square the number]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045499 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045500 Does not require a calculator ]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045500 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045503 The Fibonacci sequence is also known as the Golden ratio, that applies to many mathematical aspects and real life aspects ]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045503 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045505 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045505 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045506 Determine if the series converge or diverege
Geometric series, harmonic series, and telescoping series 

]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045506 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045507 On e^x problems, don't round along the way.]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045507 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045508 you can use sigma notation on a calculator for the Fibonacci sequence]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045508 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045509 Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045509 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045510 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045510 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045511 Expansion of terms 
Expansion using the rth term ]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045511 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045513 avoid adding the wrong numbers when using pascals triangle to solve]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045513 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045514 no calc needed]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045514 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045515 Shorter way to express a series in a different and easier way by using the Greek symbol Sigma]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045515 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045517 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045517 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045518 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 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045518 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045519 doing the problem wrong.]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045519 j_baseball_schell https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045520 Get sigma on calculator for finite sums: Math button, then press Zero]]> 2019-04-16 16:55:57 UTC https://padlet.com/j_baseball_schell/wytb53vh60t5/wish/352045520