https://padlet.com/linsensen125/q7k1h5cb0k2 Sections 12.5, 12.6, 12.7, 12.9 en-us 2019-04-16 16:53:12 UTC 2023-07-16 22:41:41 UTC hello@padlet.com linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044291 Use mathematical induction to prove the validity of mathematical statements.
Do this both for a series/sum and divisibility statements.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044291 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044294 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044294 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044295 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 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044295 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044296 Make sure to check if it is valid if it matches for both sides.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044296 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044297 No]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044297 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044298 Approximate e^x, trigonometric values, and logarithms of negative numbers by using series.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044298 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044299 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044299 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044300 Find ln(-3) to four decimal places.
ln(-1)+ln(3)
=iPi+ln(-1)
=Ipi+1.0936]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044300 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044301 On e^x problems, don't round along the way.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044301 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044302 Make sure to use Ln and take the natural log for both sides.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044302 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044303 Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044303 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044305 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044305 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044306 Expand (x+y)^6 
x^6+6(x^5 )y+15(x^4)(y^2)+20(x^3)(y^3）+15（x^2)(y^2)+6xy^5+y^6]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044306 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044307 Make sure to remember the pascal's triangle and mind about the positive and negative coefficient.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044307 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044308 No]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044308 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044310 Sigma notation allows us to write a long sum in a single expression]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044310 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044311 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044311 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044312 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 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044312 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044313 By using the formulas given above in exactly the form that they are given.]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044313 linsensen125 https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044314 Get sigma on calculator for finite sums: Math button, then press Zero]]> 2019-04-16 16:53:12 UTC https://padlet.com/linsensen125/q7k1h5cb0k2/wish/352044314