Okayy so I hope everyone had a great Easter!!! I am going to do both of my blogs now because I am leaving for Arizona Friday and won't be home until late Sunday night.....
*lim
n-infinity: if the degree of the top= the degree of the bottom, then the answer is the coefficients.
Example:
lim n^2+1/2n^2-3n = 1/2
n-infinity
*lim
n-infinity: if the degree of the top is > the degree of the bottom, then your answer is infinity
Example:
lim 7n^3/4n^2-5 = infinity
n-infinity
*lim
n-infinity: if the degree of the top is < the degree of the bottom, then your answer is 0
Example:
lim 5n^2/3n^3+7 = 0
n-infinity
***If no rules apply, then you have to use your calculator to find what the sequence is approaching.
13-5 Sums of Infinite Series
*they can only be found with a geometric serires where /r/<1
Formula: S= t1/1-r
Example: 9-6+4
r= -6/9= -2/3 geometric
/-2/3/<1
S= 9/(1-(-2/3))= 27/5
Example: Write .45 repeating as a fraction
45/100-1= 45/99= 5/11
I could use some help with remembering how to do sigma notation... Thanks!! :)
Sigma has three parts
ReplyDeleteA 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 between the bottom and the top numbers
So if the bottom number is one and the top number is five 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 togethe3r to get the final answer
When asked to express then you draw the sigma sign and fill in the top middle and bottom parts
is there anything else you dont understand with sigma notation?