Taylor reflection for 14 February 2010

I apologize for my reflection being so late i was in vegas and there was barely any cell phone service much less internet service

so ill post my study sheet for the test

Arithmetic= tn= t1 + (n-1) d
Geometric= tn= t1 * r ^ n-1

tn= actual number
n= address of a number in a series

Sn Arithmetic= Sn= n (t1 + tn) /2
Sn Geometric= Sn= t1 (1 - r)^n /1-r

LIMIT -> 1- infinity
polynomial equations uses rules always
rules: t= top b=bottom
t=b: coefficients so the coefficient of the top hightest exponent over the coefficient of the bottom highest exponent
t>b: infinity
t
all other limit problems plug in 100, 1000, 10000 for n in the calculator and record results for each then determine what number the results are headed toward

sum of series only used when r<1>1 then no solution b/c it diverges)
T2 over T1 to get r


Sigma has three parts

a top number
a middle number
a bottom number

top is called limit of summation
middle is called the summand
bottom is called index

top is the address of the last number in given series
middle is the result of the tn formula
bottom is what number you start counting at

if the equation is arithmetic then the bottom number will be 1
if the equation is geometric then the bottom number will be 0


when asked to evaluate for a sigma problem you plug in the numbers including and inbetween the bottom and the top numbers
so if the bottom number is one and the top number is 5 then you would plug in 1, 2, 3, 4, 5 for the variable of the middle equation
and add the results of each plug in together to get final answer


when asked to express then you draw the sigma sign and fill in the top middle and bottom parts



i think i really understand this chapter
ill post again with questions from another chapter later
hope this helps
if anyone needs any explaning or further help dont be afraid to ask!