There are two problems that just state "evaluate each of the following sums that exist". I don't think this means add them up since we are studying series and sequences but there is no further direction so I'm at a loss. What form should an anser be in?
1. 15+9+27/5+81/25+....
2. 1+1/3.02+1/(3.02)^2+1/(3.02)^3+....
Many thanks for your help!
2006-11-24 02:09:47 · 8 answers · asked by mdetaos 3 in Science & Mathematics ➔ Mathematics
All of my entries are correct...
I am afraid taht I am now even more confused! I know a sum must exist if the absolute value of r is less than 1 so both problems should have answers.
What I don't get is the correct formula for when the series doesn't begin with 0.
2006-11-24 06:42:58 · update #1
1.a=15 and the common ratio=9/15=3/5
it is a geometric progression
sum to n terms=a*(r^n-1)/(r-1)
2.here a=1/(3.02)^0
r=1/(3.02)
again it is a geometric progression
sum to n terms
a*(1-r^n)/(1-r) as r is less than 1
however if you have to find the sum to infinity
theformula is a/(1-r)
for the first problem it will be 15/(1-3/5)
for the second sum it will be 1/(1-1/3.02)
2006-11-24 02:21:01 · answer #1 · answered by raj 7 · 2⤊ 0⤋
PLEASE recheck your first problem. there's a typo error in it somewhere in the begining. if not, then here is the solution:-
Both the series mentioned by u are called Geometric Series. In Q #2, the sum of the series is given by S = 1 / [1 - r] where 'r'= 1 / 2.03
solving, you get S = 2.03 / 1.03 this u can divide for yourself and get the answer.
this above sum 'S' is if the series is 'infinite'. It is a "Convergent" Geometric Series.
RECHECK ur first question and post it online on the page.
u got any more trouble with math [or any subject] cintact me on Yahoo Messenger where my ID is fizanaqsh.
u can also email me . my email address is fizanaqsh@yahoo.co.in
2006-11-24 10:36:38 · answer #2 · answered by homeworknetguru 1 · 0⤊ 1⤋
"evaluate each of the following sums that exist" means that you need to find out the sum if it exists. These are geometric series, so the sum doesn't always exist - do you remember what it takes for the sum to exist?
2006-11-24 10:42:15 · answer #3 · answered by Anonymous · 0⤊ 1⤋
what u dont have and end to the ecuation????? then the constant must be N so u have to add to infinite so u have only to aproach to the next number to infinite N following the series
theres a method but i forgot how it was. we dont use that crap again when u get to university so cheer up
2006-11-24 10:19:07 · answer #4 · answered by Anonymous · 0⤊ 1⤋
Geometric series.
2006-11-24 10:30:48 · answer #5 · answered by ag_iitkgp 7 · 0⤊ 1⤋
i would add them the way you learn how and then ask your teacher
2006-11-24 11:18:41 · answer #6 · answered by princess 1 · 0⤊ 1⤋
i would add them, then in mathclass ask the tacher for help.
2006-11-24 10:11:54 · answer #7 · answered by melissa 2 · 0⤊ 1⤋
If I were you I would use a calculator
2006-11-24 10:37:00 · answer #8 · answered by homeskillet 3 · 0⤊ 1⤋