you never know when you might need math…. there is an end number
DESCRIPTION
Number you go to Index of summation (Number you start with)TRANSCRIPT
9.5 SERIES
You never know when you might need math…
FINITE SERIESThere is an end number.
FINITE SERIESSUMMATION NOTATION
Number you go to
Index of summation (Number you start with)
EXAMPLES:
k1 k2 k3 k4 k5 k6
7
k4 k5 k6 k7
k2 k3 k4 k5
EXAMPLES:
EXAMPLES:k
FINITE ARITHMETIC
n=# of terms =1st term = last term
n=# of terms =1st termd=common difference
EXAMPLES:-7,-3,1,5,9,13
117, 110,103…33
=-7 =13n=6
117-3384/7=d 13 terms
FINITE GEOMETRIC
n=# of terms =1st term r= ratio
EXAMPLES:
=5r=3n=10
98415/3=32805
5,15,45…98415
INFINITE SERIESThere is no end.
INFINITE SERIESSUMMATION NOTATION
Goes to infinity (Never ends)
Index of summation (Number you start with)
GEOMETRIC
Converge=sumDiverge=no sum
Converge if |r|<1Not converge, sum=
EXAMPLES:
a r
6+3+3/2+3/4…Mult. By ½=r
4-2+1-1/2+1/4…r=-1/2
EXAMPLES:A ball is dropped at 5 feet. It rebounds to 80% of the last bounce. What is the total distance?
a=5r=.8
WORKS CITED Demana, Franklin, Bert K. Waits,
Gregory D. Foley, and Daniel Kennedy. Graphing Calculator Manual ; Precalculus, Graphical, Numerical, Algebraic :. Boston, MA: Pearson Addison Wesley, 2007. Print.
Krzykowski, Kylee. Notebook; Precalculus with Barber. Lincoln, H.S. 2013. Print.